652806 has 64 divisors (see below), whose sum is σ = 1820160. Its totient is φ = 168480.

The previous prime is 652787. The next prime is 652811. The reversal of 652806 is 608256.

652806 is a `hidden beast` number, since 652 + 8 + 0 + 6 = 666.

652806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 652806.

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 652806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4080 + ... + 4236.

It is an arithmetic number, because the mean of its divisors is an integer number (28440).

2⁶⁵²⁸⁰⁶ is an apocalyptic number.

652806 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 652806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910080).

652806 is an abundant number, since it is smaller than the sum of its proper divisors (1167354).

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

652806 is a wasteful number, since it uses less digits than its factorization.

652806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

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

The square root of 652806 is about 807.9641081137. The cubic root of 652806 is about 86.7483811816.

The spelling of 652806 in words is "six hundred fifty-two thousand, eight hundred six".