1057202160 has 160 divisors (see below), whose sum is σ = 3762616320. Its totient is φ = 240543744.

The previous prime is 1057202129. The next prime is 1057202203. The reversal of 1057202160 is 612027501.

It is a super-2 number, since 2×1057202160² = 2235352814217331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1057202160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400204 + ... + 402836.

It is an arithmetic number, because the mean of its divisors is an integer number (23516352).

Almost surely, 2^1057202160 is an apocalyptic number.

1057202160 is a gapful number since it is divisible by the number (10) 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 1057202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881308160).

1057202160 is an abundant number, since it is smaller than the sum of its proper divisors (2705414160).

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

1057202160 is a wasteful number, since it uses less digits than its factorization.

1057202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1057202160 is about 32514.6453156112. The cubic root of 1057202160 is about 1018.7149522614.

Adding to 1057202160 its reverse (612027501), we get a palindrome (1669229661).

It can be divided in two parts, 105720 and 2160, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 1057202160 in words is "one billion, fifty-seven million, two hundred two thousand, one hundred sixty".