656512 has 32 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 312576.

The previous prime is 656483. The next prime is 656519. The reversal of 656512 is 215656.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×656512² = 862016012288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (656519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2833 + ... + 3055.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁶⁵⁶⁵¹² 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 656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

656512 is an abundant number, since it is smaller than the sum of its proper divisors (714368).

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

656512 is a wasteful number, since it uses less digits than its factorization.

656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 656512 is about 810.2542810748. The cubic root of 656512 is about 86.9122292690.

The spelling of 656512 in words is "six hundred fifty-six thousand, five hundred twelve".