1057031600 has 60 divisors (see below), whose sum is σ = 2563356024. Its totient is φ = 418844160.

The previous prime is 1057031587. The next prime is 1057031603. The reversal of 1057031600 is 61307501.

It is a super-2 number, since 2×1057031600² = 2234631606797120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057031603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30452 + ... + 55148.

Almost surely, 2^1057031600 is an apocalyptic number.

1057031600 is a gapful number since it is divisible by the number (10) 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 1057031600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281678012).

1057031600 is an abundant number, since it is smaller than the sum of its proper divisors (1506324424).

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

1057031600 is a wasteful number, since it uses less digits than its factorization.

1057031600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24822 (or 24811 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 1057031600 is about 32512.0223917246. The cubic root of 1057031600 is about 1018.6601657145.

The spelling of 1057031600 in words is "one billion, fifty-seven million, thirty-one thousand, six hundred".