1057561568 has 96 divisors (see below), whose sum is σ = 2536095744. Its totient is φ = 423770112.

The previous prime is 1057561553. The next prime is 1057561573. The reversal of 1057561568 is 8651657501.

It is a happy number.

1057561568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057561568² = 2236872940221237248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635105 + ... + 636767.

It is an arithmetic number, because the mean of its divisors is an integer number (26417664).

Almost surely, 2^1057561568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057561568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268047872).

1057561568 is an abundant number, since it is smaller than the sum of its proper divisors (1478534176).

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

1057561568 is a wasteful number, since it uses less digits than its factorization.

1057561568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 1057561568 is about 32520.1717092638. The cubic root of 1057561568 is about 1018.8303804594.

The spelling of 1057561568 in words is "one billion, fifty-seven million, five hundred sixty-one thousand, five hundred sixty-eight".