656704 has 28 divisors (see below), whose sum is σ = 1349248. Its totient is φ = 316800.

The previous prime is 656701. The next prime is 656707. The reversal of 656704 is 407656.

It is an interprime number because it is at equal distance from previous prime (656701) and next prime (656707).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656701) 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 3 ways as a sum of consecutive naturals, for example, 1819 + ... + 2149.

2⁶⁵⁶⁷⁰⁴ is an apocalyptic number.

656704 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 656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674624).

656704 is an abundant number, since it is smaller than the sum of its proper divisors (692544).

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

656704 is a wasteful number, since it uses less digits than its factorization.

656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 656704 is about 810.3727537374. The cubic root of 656704 is about 86.9207010722.

The spelling of 656704 in words is "six hundred fifty-six thousand, seven hundred four".