687652 has 24 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 287040.

The previous prime is 687647. The next prime is 687679. The reversal of 687652 is 256786.

687652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 6³ + 8² + 6⁷ + 7⁵ + 5⁸ + 2² .

It is a congruent number.

It is an unprimeable number.

687652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849 + ... + 1447.

It is an arithmetic number, because the mean of its divisors is an integer number (58800).

2⁶⁸⁷⁶⁵² 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 687652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

687652 is an abundant number, since it is smaller than the sum of its proper divisors (723548).

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

687652 is a wasteful number, since it uses less digits than its factorization.

687652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 687652 is about 829.2478519719. The cubic root of 687652 is about 88.2652123032.

The spelling of 687652 in words is "six hundred eighty-seven thousand, six hundred fifty-two".