688825120 has 24 divisors (see below), whose sum is σ = 1627349724. Its totient is φ = 275529984.

The previous prime is 688825103. The next prime is 688825171. The reversal of 688825120 is 21528886.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 646990096 + 41835024 = 25436^2 + 6468^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 2152419 + ... + 2152738.

Almost surely, 2^688825120 is an apocalyptic number.

It is an amenable number.

688825120 is an abundant number, since it is smaller than the sum of its proper divisors (938524604).

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

688825120 is a wasteful number, since it uses less digits than its factorization.

688825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305172 (or 4305164 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 688825120 is about 26245.4780867105. The cubic root of 688825120 is about 883.1537665928.

The spelling of 688825120 in words is "six hundred eighty-eight million, eight hundred twenty-five thousand, one hundred twenty".