90539120 has 80 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 30731520.

The previous prime is 90539117. The next prime is 90539149. The reversal of 90539120 is 2193509.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59165 + ... + 60675.

Almost surely, 2^90539120 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 90539120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

90539120 is an abundant number, since it is smaller than the sum of its proper divisors (152445328).

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

90539120 is a wasteful number, since it uses less digits than its factorization.

With its successor (90539121) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1632).

90539120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 90539120 is about 9515.2046746247. The cubic root of 90539120 is about 449.0335141972.

The spelling of 90539120 in words is "ninety million, five hundred thirty-nine thousand, one hundred twenty".