688458880 has 64 divisors (see below), whose sum is σ = 1686053880. Its totient is φ = 268656640.

The previous prime is 688458857. The next prime is 688458887. The reversal of 688458880 is 88854886.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 233233984 + 455224896 = 15272^2 + 21336^2 .

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 (688458887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13122 + ... + 39358.

Almost surely, 2^688458880 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 688458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843026940).

688458880 is an abundant number, since it is smaller than the sum of its proper divisors (997595000).

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

688458880 is a wasteful number, since it uses less digits than its factorization.

688458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26297 (or 26285 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 55.

The square root of 688458880 is about 26238.4999571241. The cubic root of 688458880 is about 882.9972181128.

The spelling of 688458880 in words is "six hundred eighty-eight million, four hundred fifty-eight thousand, eight hundred eighty".