24138864 has 80 divisors (see below), whose sum is σ = 70352640. Its totient is φ = 7922880.

The previous prime is 24138857. The next prime is 24138893. The reversal of 24138864 is 46883142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30279 + ... + 31065.

It is an arithmetic number, because the mean of its divisors is an integer number (879408).

Almost surely, 2^24138864 is an apocalyptic number.

24138864 is a gapful number since it is divisible by the number (24) 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 24138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35176320).

24138864 is an abundant number, since it is smaller than the sum of its proper divisors (46213776).

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

24138864 is a wasteful number, since it uses less digits than its factorization.

24138864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 24138864 is about 4913.1317914341. The cubic root of 24138864 is about 289.0051682684.

It can be divided in two parts, 2 and 4138864, that multiplied together give a palindrome (8277728).

The spelling of 24138864 in words is "twenty-four million, one hundred thirty-eight thousand, eight hundred sixty-four".