25295760 has 240 divisors, whose sum is σ = 101779200. Its totient is φ = 5757696.

The previous prime is 25295749. The next prime is 25295761. The reversal of 25295760 is 6759252.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (25295761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105721 + ... + 105959.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^25295760 is an apocalyptic number.

25295760 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 25295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

25295760 is an abundant number, since it is smaller than the sum of its proper divisors (76483440).

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

25295760 is a wasteful number, since it uses less digits than its factorization.

25295760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 25295760 is about 5029.4890396540. The cubic root of 25295760 is about 293.5503330023.

The spelling of 25295760 in words is "twenty-five million, two hundred ninety-five thousand, seven hundred sixty".