656016 has 40 divisors (see below), whose sum is σ = 1726080. Its totient is φ = 214656.

The previous prime is 655987. The next prime is 656023. The reversal of 656016 is 610656.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3706 + ... + 3878.

It is an arithmetic number, because the mean of its divisors is an integer number (43152).

2⁶⁵⁶⁰¹⁶ 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 656016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863040).

656016 is an abundant number, since it is smaller than the sum of its proper divisors (1070064).

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

656016 is a wasteful number, since it uses less digits than its factorization.

656016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 656016 is about 809.9481464884. The cubic root of 656016 is about 86.8903361294.

The spelling of 656016 in words is "six hundred fifty-six thousand, sixteen".