90032 has 20 divisors (see below), whose sum is σ = 185256. Its totient is φ = 42240.

The previous prime is 90031. The next prime is 90053. The reversal of 90032 is 23009.

It is a happy number.

90032 is nontrivially palindromic in base 7.

It is a super-3 number, since 3×90032³ = 2189333629538304, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 89989 and 90016.

It is not an unprimeable number, because it can be changed into a prime (90031) 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, 107 + ... + 437.

2⁹⁰⁰³² 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 90032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92628).

90032 is an abundant number, since it is smaller than the sum of its proper divisors (95224).

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

90032 is a wasteful number, since it uses less digits than its factorization.

90032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 90032 is about 300.0533285934. The cubic root of 90032 is about 44.8193581307.

The spelling of 90032 in words is "ninety thousand, thirty-two".