90540032 has 48 divisors (see below), whose sum is σ = 197542800. Its totient is φ = 41144320.

The previous prime is 90540031. The next prime is 90540061. The reversal of 90540032 is 23004509.

It is a super-2 number, since 2×90540032² = 16394994789122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90540031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20519 + ... + 24537.

It is an arithmetic number, because the mean of its divisors is an integer number (4115475).

Almost surely, 2^90540032 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 90540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98771400).

90540032 is an abundant number, since it is smaller than the sum of its proper divisors (107002768).

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

90540032 is a wasteful number, since it uses less digits than its factorization.

90540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 90540032 is about 9515.2525978032. The cubic root of 90540032 is about 449.0350218961.

The spelling of 90540032 in words is "ninety million, five hundred forty thousand, thirty-two".