688900600 has 96 divisors (see below), whose sum is σ = 1725603840. Its totient is φ = 255024000.

The previous prime is 688900567. The next prime is 688900621. The reversal of 688900600 is 6009886.

688900600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 688900600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140185 + ... + 145015.

It is an arithmetic number, because the mean of its divisors is an integer number (17975040).

Almost surely, 2^688900600 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 688900600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862801920).

688900600 is an abundant number, since it is smaller than the sum of its proper divisors (1036703240).

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

688900600 is a wasteful number, since it uses less digits than its factorization.

688900600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 688900600 is about 26246.9160093143. The cubic root of 688900600 is about 883.1860234554.

The spelling of 688900600 in words is "six hundred eighty-eight million, nine hundred thousand, six hundred".