688672320 has 112 divisors (see below), whose sum is σ = 2498921088. Its totient is φ = 157409280.

The previous prime is 688672319. The next prime is 688672321. The reversal of 688672320 is 23276886.

It is an interprime number because it is at equal distance from previous prime (688672319) and next prime (688672321).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (688672321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44521 + ... + 57960.

Almost surely, 2^688672320 is an apocalyptic number.

688672320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688672320 is an abundant number, since it is smaller than the sum of its proper divisors (1810248768).

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

688672320 is a wasteful number, since it uses less digits than its factorization.

688672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102508 (or 102498 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 688672320 is about 26242.5669476139. The cubic root of 688672320 is about 883.0884593176.

The spelling of 688672320 in words is "six hundred eighty-eight million, six hundred seventy-two thousand, three hundred twenty".