1064249424 has 240 divisors, whose sum is σ = 3597984000. Its totient is φ = 293190912.

The previous prime is 1064249401. The next prime is 1064249447. The reversal of 1064249424 is 4249424601.

It is a happy number.

1064249424 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 9 + 4 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1064249401) and next prime (1064249447).

It is a super-2 number, since 2×1064249424² = 2265253672968663552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431997 + ... + 1432739.

It is an arithmetic number, because the mean of its divisors is an integer number (14991600).

Almost surely, 2^1064249424 is an apocalyptic number.

1064249424 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 1064249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798992000).

1064249424 is an abundant number, since it is smaller than the sum of its proper divisors (2533734576).

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

1064249424 is a wasteful number, since it uses less digits than its factorization.

1064249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1064249424 is about 32622.8359282267. The cubic root of 1064249424 is about 1020.9735111630.

The spelling of 1064249424 in words is "one billion, sixty-four million, two hundred forty-nine thousand, four hundred twenty-four".