688810624 has 64 divisors (see below), whose sum is σ = 1516242240. Its totient is φ = 310030336.

The previous prime is 688810621. The next prime is 688810657. The reversal of 688810624 is 426018886.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (688810621) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43167 + ... + 56929.

It is an arithmetic number, because the mean of its divisors is an integer number (23691285).

Almost surely, 2^688810624 is an apocalyptic number.

688810624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688810624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758121120).

688810624 is an abundant number, since it is smaller than the sum of its proper divisors (827431616).

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

688810624 is a wasteful number, since it uses less digits than its factorization.

688810624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 688810624 is about 26245.2019233993. The cubic root of 688810624 is about 883.1475713644.

The spelling of 688810624 in words is "six hundred eighty-eight million, eight hundred ten thousand, six hundred twenty-four".