688338432 has 320 divisors, whose sum is σ = 2253873600. Its totient is φ = 206438400.

The previous prime is 688338407. The next prime is 688338433. The reversal of 688338432 is 234833886.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688338433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815182 + ... + 6815282.

It is an arithmetic number, because the mean of its divisors is an integer number (7043355).

Almost surely, 2^688338432 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 688338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126936800).

688338432 is an abundant number, since it is smaller than the sum of its proper divisors (1565535168).

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

688338432 is a wasteful number, since it uses less digits than its factorization.

688338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 688338432 is about 26236.2046035626. The cubic root of 688338432 is about 882.9457207492.

The spelling of 688338432 in words is "six hundred eighty-eight million, three hundred thirty-eight thousand, four hundred thirty-two".