90358080 has 112 divisors (see below), whose sum is σ = 291778944. Its totient is φ = 23685120.

The previous prime is 90358069. The next prime is 90358109. The reversal of 90358080 is 8085309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57789 + ... + 59331.

Almost surely, 2^90358080 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 90358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145889472).

90358080 is an abundant number, since it is smaller than the sum of its proper divisors (201420864).

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

90358080 is a wasteful number, since it uses less digits than its factorization.

90358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 90358080 is about 9505.6867190119. The cubic root of 90358080 is about 448.7340220308.

The spelling of 90358080 in words is "ninety million, three hundred fifty-eight thousand, eighty".