1013792688 has 60 divisors (see below), whose sum is σ = 3004113528. Its totient is φ = 318051840.

The previous prime is 1013792677. The next prime is 1013792699. The reversal of 1013792688 is 8862973101.

1013792688 is a `hidden beast` number, since 10 + 1 + 379 + 268 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1013792677) and next prime (1013792699).

It is a super-2 number, since 2×1013792688² = 2055551228484530688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204618 + ... + 209513.

Almost surely, 2^1013792688 is an apocalyptic number.

1013792688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1013792688 is an abundant number, since it is smaller than the sum of its proper divisors (1990320840).

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

1013792688 is a wasteful number, since it uses less digits than its factorization.

1013792688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414162 (or 414153 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1013792688 is about 31840.1113063381. Note that the first 3 decimals coincide. The cubic root of 1013792688 is about 1004.5765855787.

The spelling of 1013792688 in words is "one billion, thirteen million, seven hundred ninety-two thousand, six hundred eighty-eight".