90885120 has 176 divisors, whose sum is σ = 298501728. Its totient is φ = 23592960.

The previous prime is 90885107. The next prime is 90885127. The reversal of 90885120 is 2158809.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90885127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936912 + ... + 937008.

Almost surely, 2^90885120 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 90885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149250864).

90885120 is an abundant number, since it is smaller than the sum of its proper divisors (207616608).

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

90885120 is a wasteful number, since it uses less digits than its factorization.

90885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 90885120 is about 9533.3687645029. The cubic root of 90885120 is about 449.6047888110.

The spelling of 90885120 in words is "ninety million, eight hundred eighty-five thousand, one hundred twenty".