656496 has 60 divisors (see below), whose sum is σ = 1895712. Its totient is φ = 211968.

The previous prime is 656483. The next prime is 656519. The reversal of 656496 is 694656.

It is a happy number.

656496 is a `hidden beast` number, since 6 + 5 + 649 + 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 656496.

It is a congruent number.

It is an unprimeable number.

656496 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 11 ways as a sum of consecutive naturals, for example, 6720 + ... + 6816.

2⁶⁵⁶⁴⁹⁶ 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 656496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856).

656496 is an abundant number, since it is smaller than the sum of its proper divisors (1239216).

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

656496 is a wasteful number, since it uses less digits than its factorization.

656496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 656496 is about 810.2444075710. The cubic root of 656496 is about 86.9115232108.

It can be divided in two parts, 65 and 6496, that added together give a 8-th power (6561 = 3⁸).

The spelling of 656496 in words is "six hundred fifty-six thousand, four hundred ninety-six".