652864 has 21 divisors (see below), whose sum is σ = 1308481. Its totient is φ = 323200.

The previous prime is 652853. The next prime is 652871. The reversal of 652864 is 468256.

652864 = T₃₀ + T₃₁ + ... + T₁₅₇.

The square root of 652864 is 808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 25600 = 792^2 + 160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6414 + ... + 6514.

652864 is a Friedman number, since it can be written as (864-56)^2, using all its digits and the basic arithmetic operations.

2⁶⁵²⁸⁶⁴ is an apocalyptic number.

652864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

652864 is the 808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652864

652864 is an abundant number, since it is smaller than the sum of its proper divisors (655617).

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

652864 is an equidigital number, since it uses as much as digits as its factorization.

652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 103 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The cubic root of 652864 is about 86.7509502231.

The spelling of 652864 in words is "six hundred fifty-two thousand, eight hundred sixty-four".