688525623 has 16 divisors (see below), whose sum is σ = 1020457440. Its totient is φ = 458828352.

The previous prime is 688525613. The next prime is 688525661. The reversal of 688525623 is 326525886.

688525623 is a `hidden beast` number, since 6 + 8 + 85 + 2 + 562 + 3 = 666.

It is not a de Polignac number, because 688525623 - 2⁸ = 688525367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688525613) 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, 100165 + ... + 106817.

It is an arithmetic number, because the mean of its divisors is an integer number (63778590).

Almost surely, 2^688525623 is an apocalyptic number.

688525623 is a deficient number, since it is larger than the sum of its proper divisors (331931817).

688525623 is a wasteful number, since it uses less digits than its factorization.

688525623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10489 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 688525623 is about 26239.7717787331. The cubic root of 688525623 is about 883.0257513972.

The spelling of 688525623 in words is "six hundred eighty-eight million, five hundred twenty-five thousand, six hundred twenty-three".