688825952 has 24 divisors (see below), whose sum is σ = 1399874112. Its totient is φ = 333302400.

The previous prime is 688825931. The next prime is 688825961. The reversal of 688825952 is 259528886.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 688825894 and 688825903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346199 + ... + 348182.

It is an arithmetic number, because the mean of its divisors is an integer number (58328088).

Almost surely, 2^688825952 is an apocalyptic number.

688825952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

688825952 is an abundant number, since it is smaller than the sum of its proper divisors (711048160).

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

688825952 is a wasteful number, since it uses less digits than its factorization.

688825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694422 (or 694414 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 53.

The square root of 688825952 is about 26245.4939370552. The cubic root of 688825952 is about 883.1541221662.

The spelling of 688825952 in words is "six hundred eighty-eight million, eight hundred twenty-five thousand, nine hundred fifty-two".