24982920 has 96 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 6429696.

The previous prime is 24982889. The next prime is 24982921. The reversal of 24982920 is 2928942.

It can be written as a sum of positive squares in 4 ways, for example, as 12830724 + 12152196 = 3582^2 + 3486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24982921) 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, 9244 + ... + 11636.

Almost surely, 2^24982920 is an apocalyptic number.

24982920 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 24982920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

24982920 is an abundant number, since it is smaller than the sum of its proper divisors (59046480).

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

24982920 is a wasteful number, since it uses less digits than its factorization.

24982920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 24982920 is about 4998.2917081739. The cubic root of 24982920 is about 292.3351690202.

The spelling of 24982920 in words is "twenty-four million, nine hundred eighty-two thousand, nine hundred twenty".