24928960 has 112 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 8248320.

The previous prime is 24928933. The next prime is 24928961. The reversal of 24928960 is 6982942.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (24928961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69261 + ... + 69619.

Almost surely, 2^24928960 is an apocalyptic number.

24928960 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 24928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).

24928960 is an abundant number, since it is smaller than the sum of its proper divisors (45296960).

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

24928960 is a wasteful number, since it uses less digits than its factorization.

24928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 24928960 is about 4992.8909461353. The cubic root of 24928960 is about 292.1245481069.

The spelling of 24928960 in words is "twenty-four million, nine hundred twenty-eight thousand, nine hundred sixty".