32490 has 36 divisors (see below), whose sum is σ = 89154. Its totient is φ = 8208.

The previous prime is 32479. The next prime is 32491. The reversal of 32490 is 9423.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 3249 = 171^2 + 57^2 .

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

It is a plaindrome in base 11.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (32491) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1701 + ... + 1719.

2³²⁴⁹⁰ is an apocalyptic number.

32490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44577).

32490 is an abundant number, since it is smaller than the sum of its proper divisors (56664).

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

32490 is a wasteful number, since it uses less digits than its factorization.

32490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

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

The square root of 32490 is about 180.2498266296. The cubic root of 32490 is about 31.9092480794.

It can be divided in two parts, 324 and 90, that added together give a palindrome (414).

The spelling of 32490 in words is "thirty-two thousand, four hundred ninety".