90984672 has 72 divisors (see below), whose sum is σ = 263030040. Its totient is φ = 29825280.

The previous prime is 90984653. The next prime is 90984703. The reversal of 90984672 is 27648909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14979 + ... + 20157.

It is an arithmetic number, because the mean of its divisors is an integer number (3653195).

Almost surely, 2^90984672 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 90984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131515020).

90984672 is an abundant number, since it is smaller than the sum of its proper divisors (172045368).

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

90984672 is a wasteful number, since it uses less digits than its factorization.

90984672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 90984672 is about 9538.5885748364. The cubic root of 90984672 is about 449.7688887335.

The spelling of 90984672 in words is "ninety million, nine hundred eighty-four thousand, six hundred seventy-two".