25811160 has 64 divisors (see below), whose sum is σ = 80114400. Its totient is φ = 6644736.

The previous prime is 25811153. The next prime is 25811161. The reversal of 25811160 is 6111852.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25811160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25811161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 7188.

Almost surely, 2^25811160 is an apocalyptic number.

25811160 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 25811160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40057200).

25811160 is an abundant number, since it is smaller than the sum of its proper divisors (54303240).

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

25811160 is a wasteful number, since it uses less digits than its factorization.

25811160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 25811160 is about 5080.4684823351. The cubic root of 25811160 is about 295.5306354786.

It can be divided in two parts, 2581 and 1160, that added together give a triangular number (3741 = T₈₆).

The spelling of 25811160 in words is "twenty-five million, eight hundred eleven thousand, one hundred sixty".