688072840 has 128 divisors (see below), whose sum is σ = 2005920000. Its totient is φ = 206281728.

The previous prime is 688072837. The next prime is 688072867. The reversal of 688072840 is 48270886.

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, 64186 + ... + 74134.

It is an arithmetic number, because the mean of its divisors is an integer number (15671250).

Almost surely, 2^688072840 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 688072840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002960000).

688072840 is an abundant number, since it is smaller than the sum of its proper divisors (1317847160).

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

688072840 is a wasteful number, since it uses less digits than its factorization.

688072840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 688072840 is about 26231.1425599420. The cubic root of 688072840 is about 882.8321460519.

The spelling of 688072840 in words is "six hundred eighty-eight million, seventy-two thousand, eight hundred forty".