25641360 has 120 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 6832512.

The previous prime is 25641313. The next prime is 25641383. The reversal of 25641360 is 6314652.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18781 + ... + 20099.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^25641360 is an apocalyptic number.

25641360 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 25641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

25641360 is an abundant number, since it is smaller than the sum of its proper divisors (63727920).

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

25641360 is a wasteful number, since it uses less digits than its factorization.

25641360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 25641360 is about 5063.7298506141. The cubic root of 25641360 is about 294.8811548474.

It can be divided in two parts, 256 and 41360, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 25641360 in words is "twenty-five million, six hundred forty-one thousand, three hundred sixty".