656064 has 84 divisors (see below), whose sum is σ = 2020824. Its totient is φ = 202752.

The previous prime is 656063. The next prime is 656077. The reversal of 656064 is 460656.

656064 is a `hidden beast` number, since 656 + 0 + 6 + 4 = 666.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 656064.

It is not an unprimeable number, because it can be changed into a prime (656063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9759 + ... + 9825.

2⁶⁵⁶⁰⁶⁴ is an apocalyptic number.

656064 is a gapful number since it is divisible by the number (64) 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 656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010412).

656064 is an abundant number, since it is smaller than the sum of its proper divisors (1364760).

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

656064 is a wasteful number, since it uses less digits than its factorization.

656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 656064 is about 809.9777774729. The cubic root of 656064 is about 86.8924553025.

The spelling of 656064 in words is "six hundred fifty-six thousand, sixty-four".