656101656 has 96 divisors (see below), whose sum is σ = 2051056800. Its totient is φ = 185587200.

The previous prime is 656101613. The next prime is 656101661.

656101656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 656101656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44460 + ... + 57348.

It is an arithmetic number, because the mean of its divisors is an integer number (21365175).

Almost surely, 2^656101656 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 656101656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025528400).

656101656 is an abundant number, since it is smaller than the sum of its proper divisors (1394955144).

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

656101656 is a wasteful number, since it uses less digits than its factorization.

656101656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 656101656 is about 25614.4813728484. The cubic root of 656101656 is about 868.9411772146.

The spelling of 656101656 in words is "six hundred fifty-six million, one hundred one thousand, six hundred fifty-six".