24868872 has 192 divisors, whose sum is σ = 84240000. Its totient is φ = 6604416.

The previous prime is 24868871. The next prime is 24868903. The reversal of 24868872 is 27886842.

It is a happy number.

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

Its product of digits (344064) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (24868871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469198 + ... + 469250.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^24868872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24868872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120000).

24868872 is an abundant number, since it is smaller than the sum of its proper divisors (59371128).

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

24868872 is a wasteful number, since it uses less digits than its factorization.

24868872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 24868872 is about 4986.8699602055. The cubic root of 24868872 is about 291.8896499272.

The spelling of 24868872 in words is "twenty-four million, eight hundred sixty-eight thousand, eight hundred seventy-two".