680232960 has 432 divisors, whose sum is σ = 2633854860. Its totient is φ = 162201600.

The previous prime is 680232913. The next prime is 680232989. The reversal of 680232960 is 69232086.

It can be written as a sum of positive squares in 2 ways, for example, as 589906944 + 90326016 = 24288^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11151330 + ... + 11151390.

Almost surely, 2^680232960 is an apocalyptic number.

680232960 is a gapful number since it is divisible by the number (60) 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 680232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316927430).

680232960 is an abundant number, since it is smaller than the sum of its proper divisors (1953621900).

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

680232960 is a wasteful number, since it uses less digits than its factorization.

680232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 680232960 is about 26081.2760424025. The cubic root of 680232960 is about 879.4663431074.

The spelling of 680232960 in words is "six hundred eighty million, two hundred thirty-two thousand, nine hundred sixty".