688584320 has 128 divisors (see below), whose sum is σ = 1835265600. Its totient is φ = 245514240.

The previous prime is 688584313. The next prime is 688584343. The reversal of 688584320 is 23485886.

It is a tau number, because it is divible by the number of its divisors (128).

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, 205055 + ... + 208385.

Almost surely, 2^688584320 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 688584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917632800).

688584320 is an abundant number, since it is smaller than the sum of its proper divisors (1146681280).

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

688584320 is a wasteful number, since it uses less digits than its factorization.

688584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 688584320 is about 26240.8902288013. The cubic root of 688584320 is about 883.0508434141.

The spelling of 688584320 in words is "six hundred eighty-eight million, five hundred eighty-four thousand, three hundred twenty".