90118656 has 200 divisors, whose sum is σ = 280739844. Its totient is φ = 28753920.

The previous prime is 90118621. The next prime is 90118663. The reversal of 90118656 is 65681109.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 2509056 = 9360^2 + 1584^2 .

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 90118656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1700326 + ... + 1700378.

Almost surely, 2^90118656 is an apocalyptic number.

90118656 is a gapful number since it is divisible by the number (96) 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 90118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140369922).

90118656 is an abundant number, since it is smaller than the sum of its proper divisors (190621188).

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

90118656 is an equidigital number, since it uses as much as digits as its factorization.

90118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90118656 is about 9493.0846409373. The cubic root of 90118656 is about 448.3373309699.

The spelling of 90118656 in words is "ninety million, one hundred eighteen thousand, six hundred fifty-six".