24090 has 32 divisors (see below), whose sum is σ = 63936. Its totient is φ = 5760.

The previous prime is 24083. The next prime is 24091. The reversal of 24090 is 9042.

24090 is a nontrivial binomial coefficient, being equal to C(220, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (24091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (1998).

2²⁴⁰⁹⁰ is an apocalyptic number.

24090 is the 219-th triangular number and also the 110-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968).

24090 is an abundant number, since it is smaller than the sum of its proper divisors (39846).

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

24090 is a wasteful number, since it uses less digits than its factorization.

24090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 24090 is about 155.2095357895. The cubic root of 24090 is about 28.8810026688.

The spelling of 24090 in words is "twenty-four thousand, ninety".