688516632 has 64 divisors (see below), whose sum is σ = 1921737600. Its totient is φ = 228402720.

The previous prime is 688516627. The next prime is 688516639. The reversal of 688516632 is 236615886.

688516632 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 1 + 6 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688516639) 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 15 ways as a sum of consecutive naturals, for example, 38023 + ... + 53129.

It is an arithmetic number, because the mean of its divisors is an integer number (30027150).

Almost surely, 2^688516632 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 688516632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960868800).

688516632 is an abundant number, since it is smaller than the sum of its proper divisors (1233220968).

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

688516632 is a wasteful number, since it uses less digits than its factorization.

688516632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15323 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 688516632 is about 26239.6004542752. The cubic root of 688516632 is about 883.0219077643.

The spelling of 688516632 in words is "six hundred eighty-eight million, five hundred sixteen thousand, six hundred thirty-two".