688938 has 16 divisors (see below), whose sum is σ = 1387200. Its totient is φ = 228096.

The previous prime is 688907. The next prime is 688939. The reversal of 688938 is 839886.

It is a self number, because there is not a number n which added to its sum of digits gives 688938.

It is not an unprimeable number, because it can be changed into a prime (688939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (86700).

2⁶⁸⁸⁹³⁸ is an apocalyptic number.

688938 is an abundant number, since it is smaller than the sum of its proper divisors (698262).

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

688938 is a wasteful number, since it uses less digits than its factorization.

688938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781.

The product of its digits is 82944, while the sum is 42.

The square root of 688938 is about 830.0228912506. The cubic root of 688938 is about 88.3202005712.

The spelling of 688938 in words is "six hundred eighty-eight thousand, nine hundred thirty-eight".