688007936 has 216 divisors, whose sum is σ = 1826845440. Its totient is φ = 252426240.

The previous prime is 688007923. The next prime is 688007953. The reversal of 688007936 is 639700886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4119725 + ... + 4119891.

Almost surely, 2^688007936 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 688007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913422720).

688007936 is an abundant number, since it is smaller than the sum of its proper divisors (1138837504).

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

688007936 is a wasteful number, since it uses less digits than its factorization.

688007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 688007936 is about 26229.9053753535. The cubic root of 688007936 is about 882.8043868110.

The spelling of 688007936 in words is "six hundred eighty-eight million, seven thousand, nine hundred thirty-six".