122626656 has 96 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 40279680.

The previous prime is 122626591. The next prime is 122626667. The reversal of 122626656 is 656626221.

122626656 is a `hidden beast` number, since 1 + 22 + 626 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122626656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60345 + ... + 62343.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^122626656 is an apocalyptic number.

122626656 is a gapful number since it is divisible by the number (16) 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 122626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

122626656 is an abundant number, since it is smaller than the sum of its proper divisors (240253344).

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

122626656 is a wasteful number, since it uses less digits than its factorization.

122626656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2075 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 122626656 is about 11073.6920672376. The cubic root of 122626656 is about 496.8152997692.

The spelling of 122626656 in words is "one hundred twenty-two million, six hundred twenty-six thousand, six hundred fifty-six".