24993144 has 128 divisors (see below), whose sum is σ = 77356800. Its totient is φ = 7413120.

The previous prime is 24993139. The next prime is 24993169. The reversal of 24993144 is 44139942.

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 junction number, because it is equal to n+sod(n) for n = 24993099 and 24993108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159114 + ... + 159270.

It is an arithmetic number, because the mean of its divisors is an integer number (604350).

Almost surely, 2^24993144 is an apocalyptic number.

24993144 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 24993144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38678400).

24993144 is an abundant number, since it is smaller than the sum of its proper divisors (52363656).

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

24993144 is a wasteful number, since it uses less digits than its factorization.

24993144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 24993144 is about 4999.3143529888. The cubic root of 24993144 is about 292.3750419567.

The spelling of 24993144 in words is "twenty-four million, nine hundred ninety-three thousand, one hundred forty-four".