1057661580 has 48 divisors (see below), whose sum is σ = 2964336480. Its totient is φ = 281768448.

The previous prime is 1057661569. The next prime is 1057661599. The reversal of 1057661580 is 851667501.

It is a super-2 number, since 2×1057661580² = 2237296035616192800, which contains 22 as substring.

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, 57786 + ... + 73854.

It is an arithmetic number, because the mean of its divisors is an integer number (61757010).

Almost surely, 2^1057661580 is an apocalyptic number.

1057661580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057661580 is an abundant number, since it is smaller than the sum of its proper divisors (1906674900).

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

1057661580 is a wasteful number, since it uses less digits than its factorization.

1057661580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178 (or 17176 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 1057661580 is about 32521.7093646690. The cubic root of 1057661580 is about 1018.8624958637.

The spelling of 1057661580 in words is "one billion, fifty-seven million, six hundred sixty-one thousand, five hundred eighty".