90506880 has 192 divisors, whose sum is σ = 329378400. Its totient is φ = 22837248.

The previous prime is 90506851. The next prime is 90506893. The reversal of 90506880 is 8860509.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109027 + ... + 109853.

Almost surely, 2^90506880 is an apocalyptic number.

90506880 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 90506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164689200).

90506880 is an abundant number, since it is smaller than the sum of its proper divisors (238871520).

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

90506880 is a wasteful number, since it uses less digits than its factorization.

90506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90506880 is about 9513.5103931199. The cubic root of 90506880 is about 448.9802092126.

The spelling of 90506880 in words is "ninety million, five hundred six thousand, eight hundred eighty".