1057011760 has 40 divisors (see below), whose sum is σ = 2808632736. Its totient is φ = 362403840.

The previous prime is 1057011689. The next prime is 1057011773. The reversal of 1057011760 is 671107501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1057011760² = 2234547721556595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943201 + ... + 944320.

Almost surely, 2^1057011760 is an apocalyptic number.

1057011760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057011760 is an abundant number, since it is smaller than the sum of its proper divisors (1751620976).

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

1057011760 is a wasteful number, since it uses less digits than its factorization.

1057011760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887541 (or 1887535 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 1057011760 is about 32511.7172723927. The cubic root of 1057011760 is about 1018.6537924127.

The spelling of 1057011760 in words is "one billion, fifty-seven million, eleven thousand, seven hundred sixty".