656952 has 32 divisors (see below), whose sum is σ = 1697280. Its totient is φ = 211680.

The previous prime is 656951. The next prime is 656959. The reversal of 656952 is 259656.

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 656952.

It is not an unprimeable number, because it can be changed into a prime (656951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 303 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2⁶⁵⁶⁹⁵² is an apocalyptic number.

656952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848640).

656952 is an abundant number, since it is smaller than the sum of its proper divisors (1040328).

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

656952 is a wasteful number, since it uses less digits than its factorization.

656952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 656952 is about 810.5257552971. The cubic root of 656952 is about 86.9316413746.

The spelling of 656952 in words is "six hundred fifty-six thousand, nine hundred fifty-two".