688716432 has 120 divisors (see below), whose sum is σ = 2008822816. Its totient is φ = 228427776.

The previous prime is 688716407. The next prime is 688716433. The reversal of 688716432 is 234617886.

It is not an unprimeable number, because it can be changed into a prime (688716433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193328 + ... + 1193904.

Almost surely, 2^688716432 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 688716432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004411408).

688716432 is an abundant number, since it is smaller than the sum of its proper divisors (1320106384).

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

688716432 is a wasteful number, since it uses less digits than its factorization.

688716432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 889 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 688716432 is about 26243.4074007169. The cubic root of 688716432 is about 883.1073139385.

The spelling of 688716432 in words is "six hundred eighty-eight million, seven hundred sixteen thousand, four hundred thirty-two".