90501984 has 36 divisors (see below), whose sum is σ = 257365836. Its totient is φ = 30167232.

The previous prime is 90501977. The next prime is 90502031. The reversal of 90501984 is 48910509.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 5 ways as a sum of consecutive naturals, for example, 156834 + ... + 157409.

It is an arithmetic number, because the mean of its divisors is an integer number (7149051).

Almost surely, 2^90501984 is an apocalyptic number.

It is an amenable number.

90501984 is an abundant number, since it is smaller than the sum of its proper divisors (166863852).

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

90501984 is a wasteful number, since it uses less digits than its factorization.

90501984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314259 (or 314248 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90501984 is about 9513.2530713736. The cubic root of 90501984 is about 448.9721131550.

The spelling of 90501984 in words is "ninety million, five hundred one thousand, nine hundred eighty-four".