90432 has 42 divisors (see below), whose sum is σ = 260858. Its totient is φ = 29952.

The previous prime is 90407. The next prime is 90437. The reversal of 90432 is 23409.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 20736 = 264^2 + 144^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90437) by changing a digit.

90432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 498 + ... + 654.

2⁹⁰⁴³² 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 90432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130429).

90432 is an abundant number, since it is smaller than the sum of its proper divisors (170426).

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

90432 is a wasteful number, since it uses less digits than its factorization.

90432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90432 is about 300.7191380674. The cubic root of 90432 is about 44.8856355225.

It can be divided in two parts, 9043 and 2, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 90432 in words is "ninety thousand, four hundred thirty-two".