1056380832 has 192 divisors, whose sum is σ = 3344261760. Its totient is φ = 322486272.

The previous prime is 1056380827. The next prime is 1056380861. The reversal of 1056380832 is 2380836501.

1056380832 is a `hidden beast` number, since 10 + 5 + 638 + 0 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×1056380832² = 2231880924434024448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1830528 + ... + 1831104.

It is an arithmetic number, because the mean of its divisors is an integer number (17418030).

Almost surely, 2^1056380832 is an apocalyptic number.

1056380832 is a gapful number since it is divisible by the number (12) 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 1056380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672130880).

1056380832 is an abundant number, since it is smaller than the sum of its proper divisors (2287880928).

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

1056380832 is a wasteful number, since it uses less digits than its factorization.

1056380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1056380832 is about 32502.0127376752. The cubic root of 1056380832 is about 1018.4510746690.

The spelling of 1056380832 in words is "one billion, fifty-six million, three hundred eighty thousand, eight hundred thirty-two".