25242880 has 144 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 8847360.

The previous prime is 25242871. The next prime is 25242883. The reversal of 25242880 is 8824252.

It can be written as a sum of positive squares in 8 ways, for example, as 2509056 + 22733824 = 1584^2 + 4768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25242883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615660 + ... + 615700.

It is an arithmetic number, because the mean of its divisors is an integer number (475741).

Almost surely, 2^25242880 is an apocalyptic number.

25242880 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 25242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

25242880 is an abundant number, since it is smaller than the sum of its proper divisors (43263824).

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

25242880 is a wasteful number, since it uses less digits than its factorization.

25242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 25242880 is about 5024.2292941306. The cubic root of 25242880 is about 293.3456376841.

The spelling of 25242880 in words is "twenty-five million, two hundred forty-two thousand, eight hundred eighty".