688114752 has 112 divisors (see below), whose sum is σ = 2013947712. Its totient is φ = 205977600.

The previous prime is 688114751. The next prime is 688114787. The reversal of 688114752 is 257411886.

It is not an unprimeable number, because it can be changed into a prime (688114751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88627 + ... + 96077.

It is an arithmetic number, because the mean of its divisors is an integer number (17981676).

Almost surely, 2^688114752 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 688114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006973856).

688114752 is an abundant number, since it is smaller than the sum of its proper divisors (1325832960).

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

688114752 is a wasteful number, since it uses less digits than its factorization.

688114752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7506 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 688114752 is about 26231.9414454973. The cubic root of 688114752 is about 882.8500707577.

It can be divided in two parts, 688 and 114752, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 688114752 in words is "six hundred eighty-eight million, one hundred fourteen thousand, seven hundred fifty-two".