652688 has 30 divisors (see below), whose sum is σ = 1346454. Its totient is φ = 306432.

The previous prime is 652667. The next prime is 652699. The reversal of 652688 is 886256.

652688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 283024 = 608^2 + 532^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 652688.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5720 + ... + 5832.

2⁶⁵²⁶⁸⁸ 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 652688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673227).

652688 is an abundant number, since it is smaller than the sum of its proper divisors (693766).

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

652688 is a wasteful number, since it uses less digits than its factorization.

652688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 652688 is about 807.8910817678. The cubic root of 652688 is about 86.7431540412.

Subtracting from 652688 its sum of digits (35), we obtain a triangular number (652653 = T₁₁₄₂).

The spelling of 652688 in words is "six hundred fifty-two thousand, six hundred eighty-eight".