88120656 has 240 divisors, whose sum is σ = 294088320. Its totient is φ = 25159680.

The previous prime is 88120621. The next prime is 88120657. The reversal of 88120656 is 65602188.

It is a happy number.

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 88120656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88120657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241101 + ... + 1241171.

It is an arithmetic number, because the mean of its divisors is an integer number (1225368).

Almost surely, 2^88120656 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 88120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044160).

88120656 is an abundant number, since it is smaller than the sum of its proper divisors (205967664).

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

88120656 is a wasteful number, since it uses less digits than its factorization.

88120656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 88120656 is about 9387.2603031982. The cubic root of 88120656 is about 444.9992105360. Note that the first 3 decimals are identical.

The spelling of 88120656 in words is "eighty-eight million, one hundred twenty thousand, six hundred fifty-six".