688400560 has 40 divisors (see below), whose sum is σ = 1605428496. Its totient is φ = 274517760.

The previous prime is 688400519. The next prime is 688400563. The reversal of 688400560 is 65004886.

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

It is not an unprimeable number, because it can be changed into a prime (688400563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13482 + ... + 39478.

Almost surely, 2^688400560 is an apocalyptic number.

It is an amenable number.

688400560 is an abundant number, since it is smaller than the sum of its proper divisors (917027936).

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

688400560 is a wasteful number, since it uses less digits than its factorization.

688400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26341 (or 26335 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 688400560 is about 26237.3885895681. The cubic root of 688400560 is about 882.9722842335.

The spelling of 688400560 in words is "six hundred eighty-eight million, four hundred thousand, five hundred sixty".