688129764 has 96 divisors (see below), whose sum is σ = 1938585600. Its totient is φ = 185587200.

The previous prime is 688129759. The next prime is 688129781. The reversal of 688129764 is 467921886.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572364 + ... + 573564.

It is an arithmetic number, because the mean of its divisors is an integer number (20193600).

Almost surely, 2^688129764 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 688129764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969292800).

688129764 is an abundant number, since it is smaller than the sum of its proper divisors (1250455836).

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

688129764 is a wasteful number, since it uses less digits than its factorization.

688129764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1591 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 688129764 is about 26232.2275836422. The cubic root of 688129764 is about 882.8564908346.

The spelling of 688129764 in words is "six hundred eighty-eight million, one hundred twenty-nine thousand, seven hundred sixty-four".