686052 has 72 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 200448.

The previous prime is 686051. The next prime is 686057. The reversal of 686052 is 250686.

It is not an unprimeable number, because it can be changed into a prime (686051) 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, 11599 + ... + 11657.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁶⁸⁶⁰⁵² 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 686052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

686052 is an abundant number, since it is smaller than the sum of its proper divisors (1279548).

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

686052 is a wasteful number, since it uses less digits than its factorization.

686052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

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

The square root of 686052 is about 828.2825604828. The cubic root of 686052 is about 88.1967018681.

The spelling of 686052 in words is "six hundred eighty-six thousand, fifty-two".