680652 has 72 divisors (see below), whose sum is σ = 2047136. Its totient is φ = 186624.

The previous prime is 680651. The next prime is 680657. The reversal of 680652 is 256086.

680652 is a `hidden beast` number, since 6 + 8 + 0 + 652 = 666.

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680652.

It is not an unprimeable number, because it can be changed into a prime (680651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9288 + ... + 9360.

2⁶⁸⁰⁶⁵² 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 680652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023568).

680652 is an abundant number, since it is smaller than the sum of its proper divisors (1366484).

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

680652 is a wasteful number, since it uses less digits than its factorization.

680652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 680652 is about 825.0163634741. The cubic root of 680652 is about 87.9646896903.

Subtracting from 680652 its sum of digits (27), we obtain a square (680625 = 825²).

The spelling of 680652 in words is "six hundred eighty thousand, six hundred fifty-two".