24540 has 24 divisors (see below), whose sum is σ = 68880. Its totient is φ = 6528.

The previous prime is 24533. The next prime is 24547. The reversal of 24540 is 4542.

24540 = T₆₅ + T₆₆ + ... + T₇₄.

It is an interprime number because it is at equal distance from previous prime (24533) and next prime (24547).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24547) by changing a digit.

24540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (2870).

2²⁴⁵⁴⁰ is an apocalyptic number.

24540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24540 is an abundant number, since it is smaller than the sum of its proper divisors (44340).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34440).

24540 is a wasteful number, since it uses less digits than its factorization.

24540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 24540 is about 156.6524816273. The cubic root of 24540 is about 29.0597262933.

The spelling of 24540 in words is "twenty-four thousand, five hundred forty".