1057475760 has 80 divisors (see below), whose sum is σ = 3576199680. Its totient is φ = 256357120.

The previous prime is 1057475759. The next prime is 1057475767. The reversal of 1057475760 is 675747501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1057475760² = 2236509965975155200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057475767) 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, 197640 + ... + 202919.

It is an arithmetic number, because the mean of its divisors is an integer number (44702496).

Almost surely, 2^1057475760 is an apocalyptic number.

1057475760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057475760 is an abundant number, since it is smaller than the sum of its proper divisors (2518723920).

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

1057475760 is a wasteful number, since it uses less digits than its factorization.

1057475760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400586 (or 400580 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 1057475760 is about 32518.8523782744. The cubic root of 1057475760 is about 1018.8028245659.

The spelling of 1057475760 in words is "one billion, fifty-seven million, four hundred seventy-five thousand, seven hundred sixty".