90408960 has 240 divisors, whose sum is σ = 327026700. Its totient is φ = 23887872.

The previous prime is 90408949. The next prime is 90408961. The reversal of 90408960 is 6980409.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 82944 = 9504^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90408961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829386 + ... + 829494.

Almost surely, 2^90408960 is an apocalyptic number.

90408960 is a gapful number since it is divisible by the number (90) 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 90408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163513350).

90408960 is an abundant number, since it is smaller than the sum of its proper divisors (236617740).

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

90408960 is a wasteful number, since it uses less digits than its factorization.

90408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90408960 is about 9508.3626350702. The cubic root of 90408960 is about 448.8182325516.

The spelling of 90408960 in words is "ninety million, four hundred eight thousand, nine hundred sixty".