24840 has 64 divisors (see below), whose sum is σ = 86400. Its totient is φ = 6336.

The previous prime is 24821. The next prime is 24841. The reversal of 24840 is 4842.

It is a happy number.

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

It is a d-powerful number, because it can be written as 2¹³ + 4⁴ + 8 + 4⁷ + 0 .

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (24841) 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, 1069 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2²⁴⁸⁴⁰ is an apocalyptic number.

24840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

24840 is an abundant number, since it is smaller than the sum of its proper divisors (61560).

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

24840 is a wasteful number, since it uses less digits than its factorization.

24840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24840 is about 157.6071064388. The cubic root of 24840 is about 29.1776647866.

The spelling of 24840 in words is "twenty-four thousand, eight hundred forty".