688744680 has 192 divisors, whose sum is σ = 2350373760. Its totient is φ = 160482816.

The previous prime is 688744669. The next prime is 688744733. The reversal of 688744680 is 86447886.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 562549 + ... + 563771.

It is an arithmetic number, because the mean of its divisors is an integer number (12241530).

Almost surely, 2^688744680 is an apocalyptic number.

688744680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175186880).

688744680 is an abundant number, since it is smaller than the sum of its proper divisors (1661629080).

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

688744680 is a wasteful number, since it uses less digits than its factorization.

688744680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 688744680 is about 26243.9455875065. The cubic root of 688744680 is about 883.1193874486.

The spelling of 688744680 in words is "six hundred eighty-eight million, seven hundred forty-four thousand, six hundred eighty".