1057876992 has 132 divisors (see below), whose sum is σ = 3095391520. Its totient is φ = 347922432.

The previous prime is 1057876991. The next prime is 1057877011. The reversal of 1057876992 is 2996787501.

1057876992 is a `hidden beast` number, since 1 + 0 + 578 + 7 + 69 + 9 + 2 = 666.

It is a super-2 number, since 2×1057876992² = 2238207460405936128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057876991) 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, 727338 + ... + 728790.

Almost surely, 2^1057876992 is an apocalyptic number.

1057876992 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 1057876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547695760).

1057876992 is an abundant number, since it is smaller than the sum of its proper divisors (2037514528).

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

1057876992 is a wasteful number, since it uses less digits than its factorization.

1057876992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1057876992 is about 32525.0210145974. The cubic root of 1057876992 is about 1018.9316611222.

The spelling of 1057876992 in words is "one billion, fifty-seven million, eight hundred seventy-six thousand, nine hundred ninety-two".