688960 has 28 divisors (see below), whose sum is σ = 1641348. Its totient is φ = 275456.

The previous prime is 688957. The next prime is 688969. The reversal of 688960 is 69886.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 553536 = 368^2 + 744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 757 + ... + 1396.

2⁶⁸⁸⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

688960 is an abundant number, since it is smaller than the sum of its proper divisors (952388).

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

688960 is a wasteful number, since it uses less digits than its factorization.

688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 688960 is about 830.0361437913. The cubic root of 688960 is about 88.3211406770.

The spelling of 688960 in words is "six hundred eighty-eight thousand, nine hundred sixty".