90458080 has 96 divisors (see below), whose sum is σ = 228178944. Its totient is φ = 33808896.

The previous prime is 90458077. The next prime is 90458113. The reversal of 90458080 is 8085409.

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, 172699 + ... + 173221.

It is an arithmetic number, because the mean of its divisors is an integer number (2376864).

Almost surely, 2^90458080 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 90458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114089472).

90458080 is an abundant number, since it is smaller than the sum of its proper divisors (137720864).

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

90458080 is a wasteful number, since it uses less digits than its factorization.

90458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 90458080 is about 9510.9452737359. The cubic root of 90458080 is about 448.8995001612.

The spelling of 90458080 in words is "ninety million, four hundred fifty-eight thousand, eighty".