1057074816 has 64 divisors (see below), whose sum is σ = 3208985280. Its totient is φ = 302020608.

The previous prime is 1057074769. The next prime is 1057074817. The reversal of 1057074816 is 6184707501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1057074816² = 2234814333242867712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057074817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193941 + ... + 199316.

It is an arithmetic number, because the mean of its divisors is an integer number (50140395).

Almost surely, 2^1057074816 is an apocalyptic number.

1057074816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057074816 is an abundant number, since it is smaller than the sum of its proper divisors (2151910464).

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

1057074816 is an equidigital number, since it uses as much as digits as its factorization.

1057074816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393281 (or 393269 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 1057074816 is about 32512.6870006156. The cubic root of 1057074816 is about 1018.6740479289.

The spelling of 1057074816 in words is "one billion, fifty-seven million, seventy-four thousand, eight hundred sixteen".