688160 has 96 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 225280.

The previous prime is 688159. The next prime is 688187. The reversal of 688160 is 61886.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29909 + ... + 29931.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁶⁸⁸¹⁶⁰ 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 688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

688160 is an abundant number, since it is smaller than the sum of its proper divisors (1271392).

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

688160 is a wasteful number, since it uses less digits than its factorization.

688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 688160 is about 829.5540970907. The cubic root of 688160 is about 88.2869421370.

It can be divided in two parts, 688 and 160, that added together give a palindrome (848).

The spelling of 688160 in words is "six hundred eighty-eight thousand, one hundred sixty".