25868160 has 160 divisors (see below), whose sum is σ = 92565000. Its totient is φ = 6884352.

The previous prime is 25868159. The next prime is 25868179. The reversal of 25868160 is 6186852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51591 + ... + 52089.

Almost surely, 2^25868160 is an apocalyptic number.

25868160 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 25868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46282500).

25868160 is an abundant number, since it is smaller than the sum of its proper divisors (66696840).

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

25868160 is an equidigital number, since it uses as much as digits as its factorization.

25868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25868160 is about 5086.0751075854. The cubic root of 25868160 is about 295.7480202761.

The spelling of 25868160 in words is "twenty-five million, eight hundred sixty-eight thousand, one hundred sixty".