1057959168 has 144 divisors (see below), whose sum is σ = 3258103296. Its totient is φ = 298506240.

The previous prime is 1057959139. The next prime is 1057959169. The reversal of 1057959168 is 8619597501.

It is a super-2 number, since 2×1057959168² = 2238555202310504448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057959168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057959169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445023 + ... + 447393.

Almost surely, 2^1057959168 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 1057959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629051648).

1057959168 is an abundant number, since it is smaller than the sum of its proper divisors (2200144128).

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

1057959168 is an equidigital number, since it uses as much as digits as its factorization.

1057959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 51.

The square root of 1057959168 is about 32526.2842636536. The cubic root of 1057959168 is about 1018.9580440132.

The spelling of 1057959168 in words is "one billion, fifty-seven million, nine hundred fifty-nine thousand, one hundred sixty-eight".