1057162880 has 64 divisors (see below), whose sum is σ = 2535057000. Its totient is φ = 421564416.

The previous prime is 1057162861. The next prime is 1057162891. The reversal of 1057162880 is 882617501.

It can be written as a sum of positive squares in 4 ways, for example, as 798853696 + 258309184 = 28264^2 + 16072^2 .

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

It is a super-2 number, since 2×1057162880² = 2235186709699788800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220994 + ... + 225726.

Almost surely, 2^1057162880 is an apocalyptic number.

1057162880 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 1057162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267528500).

1057162880 is an abundant number, since it is smaller than the sum of its proper divisors (1477894120).

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

1057162880 is an equidigital number, since it uses as much as digits as its factorization.

1057162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 1057162880 is about 32514.0412745017. The cubic root of 1057162880 is about 1018.7023354316.

The spelling of 1057162880 in words is "one billion, fifty-seven million, one hundred sixty-two thousand, eight hundred eighty".