90084560 has 80 divisors (see below), whose sum is σ = 220593024. Its totient is φ = 34146816.

The previous prime is 90084539. The next prime is 90084593. The reversal of 90084560 is 6548009.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318179 + ... + 318461.

Almost surely, 2^90084560 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 90084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110296512).

90084560 is an abundant number, since it is smaller than the sum of its proper divisors (130508464).

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

90084560 is a wasteful number, since it uses less digits than its factorization.

90084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 90084560 is about 9491.2886374823. The cubic root of 90084560 is about 448.2807816803.

The spelling of 90084560 in words is "ninety million, eighty-four thousand, five hundred sixty".