90084480 has 64 divisors (see below), whose sum is σ = 287150400. Its totient is φ = 24022016.

The previous prime is 90084443. The next prime is 90084499. The reversal of 90084480 is 8448009.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21540 + ... + 25379.

It is an arithmetic number, because the mean of its divisors is an integer number (4486725).

Almost surely, 2^90084480 is an apocalyptic number.

It is an amenable number.

90084480 is an abundant number, since it is smaller than the sum of its proper divisors (197065920).

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

90084480 is a wasteful number, since it uses less digits than its factorization.

90084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46941 (or 46929 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 90084480 is about 9491.2844230905. The cubic root of 90084480 is about 448.2806489811.

The spelling of 90084480 in words is "ninety million, eighty-four thousand, four hundred eighty".