655956 has 72 divisors (see below), whose sum is σ = 2009280. Its totient is φ = 176256.

The previous prime is 655943. The next prime is 655961. The reversal of 655956 is 659556.

655956 is a `hidden beast` number, since 65 + 595 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 655956.

It is a congruent number.

It is an unprimeable number.

655956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4720 + ... + 4856.

2⁶⁵⁵⁹⁵⁶ 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 655956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004640).

655956 is an abundant number, since it is smaller than the sum of its proper divisors (1353324).

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

655956 is a wasteful number, since it uses less digits than its factorization.

655956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 168 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 655956 is about 809.9111062333. The cubic root of 655956 is about 86.8876870176.

Subtracting 655956 from its reverse (659556), we obtain a square (3600 = 60²).

The spelling of 655956 in words is "six hundred fifty-five thousand, nine hundred fifty-six".