688311936 has 384 divisors, whose sum is σ = 2339064000. Its totient is φ = 192430080.

The previous prime is 688311913. The next prime is 688311973. The reversal of 688311936 is 639113886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 688311891 and 688311900.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11666275 + ... + 11666333.

Almost surely, 2^688311936 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 688311936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169532000).

688311936 is an abundant number, since it is smaller than the sum of its proper divisors (1650752064).

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

688311936 is a wasteful number, since it uses less digits than its factorization.

688311936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 688311936 is about 26235.6996476176. The cubic root of 688311936 is about 882.9343916176.

The spelling of 688311936 in words is "six hundred eighty-eight million, three hundred eleven thousand, nine hundred thirty-six".