656544 has 48 divisors (see below), whose sum is σ = 1971648. Its totient is φ = 187392.

The previous prime is 656527. The next prime is 656561. The reversal of 656544 is 445656.

It is an interprime number because it is at equal distance from previous prime (656527) and next prime (656561).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 184 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (41076).

2⁶⁵⁶⁵⁴⁴ 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 656544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985824).

656544 is an abundant number, since it is smaller than the sum of its proper divisors (1315104).

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

656544 is a wasteful number, since it uses less digits than its factorization.

656544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 656544 is about 810.2740277215. The cubic root of 656544 is about 86.9136413509.

The spelling of 656544 in words is "six hundred fifty-six thousand, five hundred forty-four".