24984960 has 384 divisors, whose sum is σ = 107516160. Its totient is φ = 4792320.

The previous prime is 24984941. The next prime is 24984961. The reversal of 24984960 is 6948942.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24984961) 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 47 ways as a sum of consecutive naturals, for example, 1921914 + ... + 1921926.

It is an arithmetic number, because the mean of its divisors is an integer number (279990).

Almost surely, 2^24984960 is an apocalyptic number.

24984960 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 24984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758080).

24984960 is an abundant number, since it is smaller than the sum of its proper divisors (82531200).

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

24984960 is a wasteful number, since it uses less digits than its factorization.

24984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 24984960 is about 4998.4957737303. The cubic root of 24984960 is about 292.3431257564.

The spelling of 24984960 in words is "twenty-four million, nine hundred eighty-four thousand, nine hundred sixty".