25564160 has 44 divisors (see below), whose sum is σ = 61336308. Its totient is φ = 10223616.

The previous prime is 25564129. The next prime is 25564183. The reversal of 25564160 is 6146552.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 16516096 = 3008^2 + 4064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2624 + ... + 7616.

It is an arithmetic number, because the mean of its divisors is an integer number (1394007).

Almost surely, 2^25564160 is an apocalyptic number.

25564160 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 25564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30668154).

25564160 is an abundant number, since it is smaller than the sum of its proper divisors (35772148).

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

25564160 is an equidigital number, since it uses as much as digits as its factorization.

25564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 25564160 is about 5056.1012648087. The cubic root of 25564160 is about 294.5849184813.

The spelling of 25564160 in words is "twenty-five million, five hundred sixty-four thousand, one hundred sixty".