1008032256 has 320 divisors, whose sum is σ = 3724047360. Its totient is φ = 261550080.

The previous prime is 1008032237. The next prime is 1008032269. The reversal of 1008032256 is 6522308001.

It is a super-2 number, since 2×1008032256² = 2032258058272899072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063975 + ... + 1064921.

It is an arithmetic number, because the mean of its divisors is an integer number (11637648).

Almost surely, 2^1008032256 is an apocalyptic number.

1008032256 is a gapful number since it is divisible by the number (16) 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 1008032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862023680).

1008032256 is an abundant number, since it is smaller than the sum of its proper divisors (2716015104).

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

1008032256 is an equidigital number, since it uses as much as digits as its factorization.

1008032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1008032256 is about 31749.5237129630. The cubic root of 1008032256 is about 1002.6702819144.

The spelling of 1008032256 in words is "one billion, eight million, thirty-two thousand, two hundred fifty-six".