25796160 has 252 divisors, whose sum is σ = 97891092. Its totient is φ = 6230016.

The previous prime is 25796159. The next prime is 25796189. The reversal of 25796160 is 6169752.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 22810176 = 1728^2 + 4776^2 .

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 35 ways as a sum of consecutive naturals, for example, 486694 + ... + 486746.

Almost surely, 2^25796160 is an apocalyptic number.

25796160 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 25796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48945546).

25796160 is an abundant number, since it is smaller than the sum of its proper divisors (72094932).

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

25796160 is a wasteful number, since it uses less digits than its factorization.

25796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 25796160 is about 5078.9920259831. The cubic root of 25796160 is about 295.4733757696.

The spelling of 25796160 in words is "twenty-five million, seven hundred ninety-six thousand, one hundred sixty".