688993632 has 72 divisors (see below), whose sum is σ = 1962094680. Its totient is φ = 229340160.

The previous prime is 688993609. The next prime is 688993639. The reversal of 688993632 is 236399886.

It is a tau number, because it is divible by the number of its divisors (72).

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 (688993639) 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 11 ways as a sum of consecutive naturals, for example, 289407 + ... + 291777.

It is an arithmetic number, because the mean of its divisors is an integer number (27251315).

Almost surely, 2^688993632 is an apocalyptic number.

It is an amenable number.

688993632 is an abundant number, since it is smaller than the sum of its proper divisors (1273101048).

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

688993632 is a wasteful number, since it uses less digits than its factorization.

688993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3385 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 688993632 is about 26248.6881957937. The cubic root of 688993632 is about 883.2257780362.

The spelling of 688993632 in words is "six hundred eighty-eight million, nine hundred ninety-three thousand, six hundred thirty-two".