688572672 has 72 divisors (see below), whose sum is σ = 1836656640. Its totient is φ = 229017600.

The previous prime is 688572671. The next prime is 688572679. The reversal of 688572672 is 276275886.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (688572671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537729 + ... + 539007.

It is an arithmetic number, because the mean of its divisors is an integer number (25509120).

Almost surely, 2^688572672 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 688572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

688572672 is an abundant number, since it is smaller than the sum of its proper divisors (1148083968).

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

688572672 is a wasteful number, since it uses less digits than its factorization.

688572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 688572672 is about 26240.6682841729. The cubic root of 688572672 is about 883.0458641961.

The spelling of 688572672 in words is "six hundred eighty-eight million, five hundred seventy-two thousand, six hundred seventy-two".