680188432 has 120 divisors (see below), whose sum is σ = 1688516928. Its totient is φ = 259733760.

The previous prime is 680188393. The next prime is 680188433. The reversal of 680188432 is 234881086.

It is not an unprimeable number, because it can be changed into a prime (680188433) 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 23 ways as a sum of consecutive naturals, for example, 717783 + ... + 718729.

Almost surely, 2^680188432 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 680188432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844258464).

680188432 is an abundant number, since it is smaller than the sum of its proper divisors (1008328496).

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

680188432 is a wasteful number, since it uses less digits than its factorization.

680188432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 680188432 is about 26080.4223892175. The cubic root of 680188432 is about 879.4471527545.

The spelling of 680188432 in words is "six hundred eighty million, one hundred eighty-eight thousand, four hundred thirty-two".