24880768 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 11008000.

The previous prime is 24880721. The next prime is 24880769. The reversal of 24880768 is 86708842.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (24880769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57513 + ... + 57943.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^24880768 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 24880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

24880768 is an abundant number, since it is smaller than the sum of its proper divisors (30639872).

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

24880768 is a wasteful number, since it uses less digits than its factorization.

24880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 24880768 is about 4988.0625497281. The cubic root of 24880768 is about 291.9361842153.

The spelling of 24880768 in words is "twenty-four million, eight hundred eighty thousand, seven hundred sixty-eight".