25836960 has 96 divisors (see below), whose sum is σ = 85700160. Its totient is φ = 6524928.

The previous prime is 25836959. The next prime is 25836973. The reversal of 25836960 is 6963852.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 7704 + ... + 10536.

It is an arithmetic number, because the mean of its divisors is an integer number (892710).

Almost surely, 2^25836960 is an apocalyptic number.

25836960 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 25836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42850080).

25836960 is an abundant number, since it is smaller than the sum of its proper divisors (59863200).

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

25836960 is a wasteful number, since it uses less digits than its factorization.

25836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 25836960 is about 5083.0069840597. The cubic root of 25836960 is about 295.6290703074.

It can be divided in two parts, 25836 and 960, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 25836960 in words is "twenty-five million, eight hundred thirty-six thousand, nine hundred sixty".