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1068624 = 243241181
BaseRepresentation
bin100000100111001010000
32000021212200
410010321100
5233143444
634523200
712040344
oct4047120
92007780
101068624
1166a967
12436500
132b552b
141db624
15161969
hex104e50

1068624 has 60 divisors (see below), whose sum is σ = 3080532. Its totient is φ = 345600.

The previous prime is 1068619. The next prime is 1068629. The reversal of 1068624 is 4268601.

It is an interprime number because it is at equal distance from previous prime (1068619) and next prime (1068629).

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 1040400 = 168^2 + 1020^2 .

It is a super-2 number, since 2×10686242 = 2283914506752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5814 + ... + 5994.

21068624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540266).

1068624 is an abundant number, since it is smaller than the sum of its proper divisors (2011908).

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

1068624 is a wasteful number, since it uses less digits than its factorization.

1068624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1068624 is about 1033.7427146055. The cubic root of 1068624 is about 102.2370495890.

The spelling of 1068624 in words is "one million, sixty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 181 246 328 362 369 492 543 656 724 738 984 1086 1448 1476 1629 1968 2172 2896 2952 3258 4344 5904 6516 7421 8688 13032 14842 22263 26064 29684 44526 59368 66789 89052 118736 133578 178104 267156 356208 534312 1068624