25886160 has 120 divisors (see below), whose sum is σ = 87870120. Its totient is φ = 6829056.

The previous prime is 25886149. The next prime is 25886221. The reversal of 25886160 is 6168852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 20466576 = 2328^2 + 4524^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112926 + ... + 113154.

It is an arithmetic number, because the mean of its divisors is an integer number (732251).

Almost surely, 2^25886160 is an apocalyptic number.

25886160 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 25886160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935060).

25886160 is an abundant number, since it is smaller than the sum of its proper divisors (61983960).

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

25886160 is a wasteful number, since it uses less digits than its factorization.

25886160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

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

The square root of 25886160 is about 5087.8443372415. The cubic root of 25886160 is about 295.8166017560.

The spelling of 25886160 in words is "twenty-five million, eight hundred eighty-six thousand, one hundred sixty".