90408 has 16 divisors (see below), whose sum is σ = 226080. Its totient is φ = 30128.

The previous prime is 90407. The next prime is 90437. The reversal of 90408 is 80409.

It is not an unprimeable number, because it can be changed into a prime (90401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1860 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (14130).

2⁹⁰⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

90408 is an abundant number, since it is smaller than the sum of its proper divisors (135672).

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 (113040).

90408 is a wasteful number, since it uses less digits than its factorization.

90408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90408 is about 300.6792310752. The cubic root of 90408 is about 44.8816643966.

Subtracting from 90408 its reverse (80409), we obtain a palindrome (9999).

The spelling of 90408 in words is "ninety thousand, four hundred eight".