1057732368 has 160 divisors (see below), whose sum is σ = 3479777280. Its totient is φ = 268846080.

The previous prime is 1057732279. The next prime is 1057732381. The reversal of 1057732368 is 8632377501.

It is a super-2 number, since 2×1057732368² = 2237595524629774848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 170668 + ... + 176756.

It is an arithmetic number, because the mean of its divisors is an integer number (21748608).

Almost surely, 2^1057732368 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 1057732368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739888640).

1057732368 is an abundant number, since it is smaller than the sum of its proper divisors (2422044912).

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

1057732368 is a wasteful number, since it uses less digits than its factorization.

1057732368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 1057732368 is about 32522.7976656376. The cubic root of 1057732368 is about 1018.8852257649.

The spelling of 1057732368 in words is "one billion, fifty-seven million, seven hundred thirty-two thousand, three hundred sixty-eight".