688630400 has 48 divisors (see below), whose sum is σ = 1701140190. Its totient is φ = 275450880.

The previous prime is 688630399. The next prime is 688630427. The reversal of 688630400 is 4036886.

It can be written as a sum of positive squares in 3 ways, for example, as 285745216 + 402885184 = 16904^2 + 20072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104399 + ... + 110798.

Almost surely, 2^688630400 is an apocalyptic number.

It is an amenable number.

688630400 is an abundant number, since it is smaller than the sum of its proper divisors (1012509790).

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

688630400 is a wasteful number, since it uses less digits than its factorization.

688630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215221 (or 215204 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 688630400 is about 26241.7682331050. The cubic root of 688630400 is about 883.0705408687.

The spelling of 688630400 in words is "six hundred eighty-eight million, six hundred thirty thousand, four hundred".