1057074768 has 60 divisors (see below), whose sum is σ = 2961113428. Its totient is φ = 352028160.

The previous prime is 1057074761. The next prime is 1057074769. The reversal of 1057074768 is 8674707501.

1057074768 is a `hidden beast` number, since 1 + 0 + 570 + 7 + 4 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 987719184 + 69355584 = 31428^2 + 8328^2 .

It is a super-2 number, since 2×1057074768² = 2234814130284507648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057074761) 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, 187446 + ... + 193002.

Almost surely, 2^1057074768 is an apocalyptic number.

1057074768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057074768 is an abundant number, since it is smaller than the sum of its proper divisors (1904038660).

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

1057074768 is a wasteful number, since it uses less digits than its factorization.

1057074768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1057074768 is about 32512.6862624422. The cubic root of 1057074768 is about 1018.6740325101.

The spelling of 1057074768 in words is "one billion, fifty-seven million, seventy-four thousand, seven hundred sixty-eight".