90888 has 32 divisors (see below), whose sum is σ = 260160. Its totient is φ = 25920.

The previous prime is 90887. The next prime is 90901. The reversal of 90888 is 88809.

It is not an unprimeable number, because it can be changed into a prime (90887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (8130).

2⁹⁰⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

90888 is an abundant number, since it is smaller than the sum of its proper divisors (169272).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130080).

90888 is a wasteful number, since it uses less digits than its factorization.

90888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 90888 is about 301.4763672330. The cubic root of 90888 is about 44.9609537840.

The spelling of 90888 in words is "ninety thousand, eight hundred eighty-eight".