688612032 has 168 divisors, whose sum is σ = 2057806400. Its totient is φ = 219967488.

The previous prime is 688612007. The next prime is 688612039. The reversal of 688612032 is 230216886.

688612032 is a `hidden beast` number, since 6 + 8 + 8 + 612 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (688612039) 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, 1683444 + ... + 1683852.

Almost surely, 2^688612032 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 688612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028903200).

688612032 is an abundant number, since it is smaller than the sum of its proper divisors (1369194368).

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

688612032 is a wasteful number, since it uses less digits than its factorization.

688612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 688612032 is about 26241.4182543551. The cubic root of 688612032 is about 883.0626893498.

The spelling of 688612032 in words is "six hundred eighty-eight million, six hundred twelve thousand, thirty-two".