90955872 has 168 divisors, whose sum is σ = 307386576. Its totient is φ = 25940736.

The previous prime is 90955871. The next prime is 90955877. The reversal of 90955872 is 27855909.

It is a happy number.

90955872 is a `hidden beast` number, since 90 + 9 + 558 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90955871) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163018 + ... + 163574.

It is an arithmetic number, because the mean of its divisors is an integer number (1829682).

Almost surely, 2^90955872 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 90955872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153693288).

90955872 is an abundant number, since it is smaller than the sum of its proper divisors (216430704).

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

90955872 is an equidigital number, since it uses as much as digits as its factorization.

90955872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 90955872 is about 9537.0787980387. The cubic root of 90955872 is about 449.7214275854.

The spelling of 90955872 in words is "ninety million, nine hundred fifty-five thousand, eight hundred seventy-two".