688131504 has 80 divisors (see below), whose sum is σ = 1980825600. Its totient is φ = 228723264.

The previous prime is 688131469. The next prime is 688131529. The reversal of 688131504 is 405131886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163377 + ... + 167535.

It is an arithmetic number, because the mean of its divisors is an integer number (24760320).

Almost surely, 2^688131504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990412800).

688131504 is an abundant number, since it is smaller than the sum of its proper divisors (1292694096).

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

688131504 is a wasteful number, since it uses less digits than its factorization.

688131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 688131504 is about 26232.2607489328. The cubic root of 688131504 is about 882.8572349622.

The spelling of 688131504 in words is "six hundred eighty-eight million, one hundred thirty-one thousand, five hundred four".