25259920 has 80 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 8451072.

The previous prime is 25259893. The next prime is 25259951. The reversal of 25259920 is 2995252.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 23556 + ... + 24604.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^25259920 is an apocalyptic number.

25259920 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 25259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

25259920 is an abundant number, since it is smaller than the sum of its proper divisors (43485680).

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

25259920 is a wasteful number, since it uses less digits than its factorization.

25259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 25259920 is about 5025.9247905236. The cubic root of 25259920 is about 293.4116296962.

The spelling of 25259920 in words is "twenty-five million, two hundred fifty-nine thousand, nine hundred twenty".