656608 has 36 divisors (see below), whose sum is σ = 1392552. Its totient is φ = 304640.

The previous prime is 656603. The next prime is 656609. The reversal of 656608 is 806656.

It is a super-2 number, since 2×656608² = 862268131328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 656608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656603) by changing a digit.

656608 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 5 ways as a sum of consecutive naturals, for example, 9213 + ... + 9283.

It is an arithmetic number, because the mean of its divisors is an integer number (38682).

2⁶⁵⁶⁶⁰⁸ is an apocalyptic number.

656608 is a gapful number since it is divisible by the number (68) 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 656608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696276).

656608 is an abundant number, since it is smaller than the sum of its proper divisors (735944).

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

656608 is a wasteful number, since it uses less digits than its factorization.

656608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 656608 is about 810.3135195713. The cubic root of 656608 is about 86.9164653770.

The spelling of 656608 in words is "six hundred fifty-six thousand, six hundred eight".