25787160 has 192 divisors, whose sum is σ = 99590400. Its totient is φ = 5878656.

The previous prime is 25787081. The next prime is 25787171. The reversal of 25787160 is 6178752.

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 47 ways as a sum of consecutive naturals, for example, 67851 + ... + 68229.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 2^25787160 is an apocalyptic number.

25787160 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 25787160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

25787160 is an abundant number, since it is smaller than the sum of its proper divisors (73803240).

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

25787160 is a wasteful number, since it uses less digits than its factorization.

25787160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 25787160 is about 5078.1059461181. The cubic root of 25787160 is about 295.4390092889.

The spelling of 25787160 in words is "twenty-five million, seven hundred eighty-seven thousand, one hundred sixty".