24830880 has 144 divisors (see below), whose sum is σ = 83553120. Its totient is φ = 6197248.

The previous prime is 24830867. The next prime is 24830887. The reversal of 24830880 is 8803842.

It is not an unprimeable number, because it can be changed into a prime (24830887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138631 + ... + 138809.

It is an arithmetic number, because the mean of its divisors is an integer number (580230).

Almost surely, 2^24830880 is an apocalyptic number.

24830880 is a gapful number since it is divisible by the number (20) 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 24830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41776560).

24830880 is an abundant number, since it is smaller than the sum of its proper divisors (58722240).

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

24830880 is a wasteful number, since it uses less digits than its factorization.

24830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 24830880 is about 4983.0593012727. The cubic root of 24830880 is about 291.7409349194.

The spelling of 24830880 in words is "twenty-four million, eight hundred thirty thousand, eight hundred eighty".