1056692832 has 192 divisors, whose sum is σ = 3088834560. Its totient is φ = 314302464.

The previous prime is 1056692801. The next prime is 1056692863. The reversal of 1056692832 is 2382966501.

It is an interprime number because it is at equal distance from previous prime (1056692801) and next prime (1056692863).

It is a super-2 number, since 2×1056692832² = 2233199482400360448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8320353 + ... + 8320479.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2^1056692832 is an apocalyptic number.

1056692832 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 1056692832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

1056692832 is an abundant number, since it is smaller than the sum of its proper divisors (2032141728).

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

1056692832 is a wasteful number, since it uses less digits than its factorization.

1056692832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1056692832 is about 32506.8120860844. The cubic root of 1056692832 is about 1018.5513306398.

The spelling of 1056692832 in words is "one billion, fifty-six million, six hundred ninety-two thousand, eight hundred thirty-two".