25965520 has 80 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 8819712.

The previous prime is 25965517. The next prime is 25965521. The reversal of 25965520 is 2556952.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25965521) 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 15 ways as a sum of consecutive naturals, for example, 111324 + ... + 111556.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^25965520 is an apocalyptic number.

25965520 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 25965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

25965520 is an abundant number, since it is smaller than the sum of its proper divisors (43672880).

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

25965520 is a wasteful number, since it uses less digits than its factorization.

25965520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 25965520 is about 5095.6373497336. The cubic root of 25965520 is about 296.1185913896.

The spelling of 25965520 in words is "twenty-five million, nine hundred sixty-five thousand, five hundred twenty".