688375152 has 160 divisors (see below), whose sum is σ = 2124864000. Its totient is φ = 212585472.

The previous prime is 688375141. The next prime is 688375157. The reversal of 688375152 is 251573886.

It is a junction number, because it is equal to n+sod(n) for n = 688375098 and 688375107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688375157) 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 31 ways as a sum of consecutive naturals, for example, 491349 + ... + 492747.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^688375152 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 688375152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432000).

688375152 is an abundant number, since it is smaller than the sum of its proper divisors (1436488848).

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

688375152 is a wasteful number, since it uses less digits than its factorization.

688375152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1488 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 688375152 is about 26236.9043905717. The cubic root of 688375152 is about 882.9614209672.

The spelling of 688375152 in words is "six hundred eighty-eight million, three hundred seventy-five thousand, one hundred fifty-two".