688973712 has 120 divisors (see below), whose sum is σ = 2109882816. Its totient is φ = 193100544.

The previous prime is 688973699. The next prime is 688973723. The reversal of 688973712 is 217379886.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121893 + ... + 127419.

Almost surely, 2^688973712 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 688973712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054941408).

688973712 is an abundant number, since it is smaller than the sum of its proper divisors (1420909104).

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

688973712 is a wasteful number, since it uses less digits than its factorization.

688973712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5592 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 688973712 is about 26248.3087455173. The cubic root of 688973712 is about 883.2172660915.

It can be divided in two parts, 6889 and 73712, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 688973712 in words is "six hundred eighty-eight million, nine hundred seventy-three thousand, seven hundred twelve".