24120 has 48 divisors (see below), whose sum is σ = 79560. Its totient is φ = 6336.

The previous prime is 24113. The next prime is 24121. The reversal of 24120 is 2142.

24120 = 19³ + 20³ + 21³.

24120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24121) by changing a digit.

24120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327 + ... + 393.

2²⁴¹²⁰ is an apocalyptic number.

24120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24120 is the 90-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780).

24120 is an abundant number, since it is smaller than the sum of its proper divisors (55440).

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

24120 is a wasteful number, since it uses less digits than its factorization.

24120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 24120 is about 155.3061492665. The cubic root of 24120 is about 28.8929864887.

Adding to 24120 its reverse (2142), we get a palindrome (26262).

It can be divided in two parts, 24 and 120, that added together give a square (144 = 12²).

The spelling of 24120 in words is "twenty-four thousand, one hundred twenty", and thus it is an iban number.