90410880 has 288 divisors, whose sum is σ = 346398120. Its totient is φ = 19998720.

The previous prime is 90410867. The next prime is 90410899. The reversal of 90410880 is 8801409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2916465 + ... + 2916495.

Almost surely, 2^90410880 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 90410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173199060).

90410880 is an abundant number, since it is smaller than the sum of its proper divisors (255987240).

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

90410880 is a wasteful number, since it uses less digits than its factorization.

90410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 90410880 is about 9508.4635982897. The cubic root of 90410880 is about 448.8214096885.

Multiplying 90410880 by its sum of digits (30), we get a square (2712326400 = 52080²).

90410880 divided by its sum of digits (30) gives a square (3013696 = 1736²).

The spelling of 90410880 in words is "ninety million, four hundred ten thousand, eight hundred eighty".