1061424 has 140 divisors (see below), whose sum is σ = 3794896. Its totient is φ = 279936.

The previous prime is 1061413. The next prime is 1061441. The reversal of 1061424 is 4241601.

It can be divided in two parts, 1061 and 424, that added together give a triangular number (1485 = T_{54}).

It is a super-2 number, since 2×1061424^{2} = 2253241815552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1061424 = 6^{3} + 102^{3} = 45^{3} + 99^{3}.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1061397 and 1061406.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81642 + ... + 81654.

2^{1061424} is an apocalyptic number.

1061424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897448).

1061424 is an abundant number, since it is smaller than the sum of its proper divisors (2733472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061424 is an equidigital number, since it uses as much as digits as its factorization.

1061424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1061424 is about 1030.2543375303. The cubic root of 1061424 is about 102.0069199457.

The spelling of 1061424 in words is "one million, sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 81 84 91 104 108 112 117 126 144 156 162 168 182 189 208 216 234 243 252 273 312 324 336 351 364 378 432 468 486 504 546 567 624 648 702 728 729 756 819 936 972 1008 1053 1092 1134 1296 1404 1456 1458 1512 1638 1701 1872 1944 2106 2184 2268 2457 2808 2916 3024 3159 3276 3402 3888 4212 4368 4536 4914 5103 5616 5832 6318 6552 6804 7371 8424 9072 9477 9828 10206 11664 12636 13104 13608 14742 16848 18954 19656 20412 22113 25272 27216 29484 37908 39312 40824 44226 50544 58968 66339 75816 81648 88452 117936 132678 151632 176904 265356 353808 530712 1061424

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