25891164 has 84 divisors (see below), whose sum is σ = 73265976. Its totient is φ = 7954848.

The previous prime is 25891163. The next prime is 25891181. The reversal of 25891164 is 46119852.

25891164 is a `hidden beast` number, since 2 + 589 + 11 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25891163) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 37567 + ... + 38249.

It is an arithmetic number, because the mean of its divisors is an integer number (872214).

Almost surely, 2^25891164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25891164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632988).

25891164 is an abundant number, since it is smaller than the sum of its proper divisors (47374812).

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

25891164 is a wasteful number, since it uses less digits than its factorization.

25891164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 25891164 is about 5088.3360738064. The cubic root of 25891164 is about 295.8356617595.

The spelling of 25891164 in words is "twenty-five million, eight hundred ninety-one thousand, one hundred sixty-four".