656352 has 72 divisors (see below), whose sum is σ = 1945944. Its totient is φ = 209664.

The previous prime is 656347. The next prime is 656371. The reversal of 656352 is 253656.

656352 is a `hidden beast` number, since 656 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12358 + ... + 12410.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2⁶⁵⁶³⁵² 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 656352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972972).

656352 is an abundant number, since it is smaller than the sum of its proper divisors (1289592).

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

656352 is a wasteful number, since it uses less digits than its factorization.

656352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 656352 is about 810.1555406217. The cubic root of 656352 is about 86.9051681711.

The spelling of 656352 in words is "six hundred fifty-six thousand, three hundred fifty-two".