25644160 has 64 divisors (see below), whose sum is σ = 64939320. Its totient is φ = 9650176.

The previous prime is 25644139. The next prime is 25644169. The reversal of 25644160 is 6144652.

It can be written as a sum of positive squares in 4 ways, for example, as 19998784 + 5645376 = 4472^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (25644169) 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, 9702 + ... + 12058.

Almost surely, 2^25644160 is an apocalyptic number.

25644160 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 25644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32469660).

25644160 is an abundant number, since it is smaller than the sum of its proper divisors (39295160).

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

25644160 is a wasteful number, since it uses less digits than its factorization.

25644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 25644160 is about 5064.0063191114. The cubic root of 25644160 is about 294.8918879908.

It can be divided in two parts, 2564 and 4160, that added together give a square (6724 = 82²).

The spelling of 25644160 in words is "twenty-five million, six hundred forty-four thousand, one hundred sixty".