25261920 has 144 divisors (see below), whose sum is σ = 88098192. Its totient is φ = 6589440.

The previous prime is 25261919. The next prime is 25261927. The reversal of 25261920 is 2916252.

25261920 is a `hidden beast` number, since 25 + 2 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25261927) 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 23 ways as a sum of consecutive naturals, for example, 76155 + ... + 76485.

It is an arithmetic number, because the mean of its divisors is an integer number (611793).

Almost surely, 2^25261920 is an apocalyptic number.

25261920 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 25261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44049096).

25261920 is an abundant number, since it is smaller than the sum of its proper divisors (62836272).

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

25261920 is a wasteful number, since it uses less digits than its factorization.

25261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 25261920 is about 5026.1237549428. The cubic root of 25261920 is about 293.4193732912.

The spelling of 25261920 in words is "twenty-five million, two hundred sixty-one thousand, nine hundred twenty".