688772 has 24 divisors (see below), whose sum is σ = 1459584. Its totient is φ = 277632.

The previous prime is 688763. The next prime is 688777. The reversal of 688772 is 277886.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688772.

It is not an unprimeable number, because it can be changed into a prime (688777) 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, 248 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (60816).

2⁶⁸⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

688772 is an abundant number, since it is smaller than the sum of its proper divisors (770812).

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

688772 is a wasteful number, since it uses less digits than its factorization.

688772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 688772 is about 829.9228879842. The cubic root of 688772 is about 88.3131064007.

The spelling of 688772 in words is "six hundred eighty-eight thousand, seven hundred seventy-two".