1057561344 has 216 divisors, whose sum is σ = 3637600512. Its totient is φ = 288921600.

The previous prime is 1057561327. The next prime is 1057561391. The reversal of 1057561344 is 4431657501.

1057561344 is a `hidden beast` number, since 1 + 0 + 57 + 561 + 3 + 44 = 666.

It is a super-2 number, since 2×1057561344² = 2236871992646172672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1057561299 and 1057561308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369519 + ... + 372369.

Almost surely, 2^1057561344 is an apocalyptic number.

1057561344 is a gapful number since it is divisible by the number (14) 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 1057561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818800256).

1057561344 is an abundant number, since it is smaller than the sum of its proper divisors (2580039168).

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

1057561344 is a wasteful number, since it uses less digits than its factorization.

1057561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1057561344 is about 32520.1682652473. The cubic root of 1057561344 is about 1018.8303085272.

The spelling of 1057561344 in words is "one billion, fifty-seven million, five hundred sixty-one thousand, three hundred forty-four".