25745920 has 80 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 10092544.

The previous prime is 25745911. The next prime is 25745921. The reversal of 25745920 is 2954752.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 17172736 = 2928^2 + 4144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25745921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227784 + ... + 227896.

Almost surely, 2^25745920 is an apocalyptic number.

25745920 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 25745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).

25745920 is an abundant number, since it is smaller than the sum of its proper divisors (37229960).

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

25745920 is an equidigital number, since it uses as much as digits as its factorization.

25745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 25745920 is about 5074.0437522749. The cubic root of 25745920 is about 295.2814320871.

The spelling of 25745920 in words is "twenty-five million, seven hundred forty-five thousand, nine hundred twenty".