25617160 has 64 divisors (see below), whose sum is σ = 60526080. Its totient is φ = 9745920.

The previous prime is 25617157. The next prime is 25617161. The reversal of 25617160 is 6171652.

It is a super-3 number, since 3×25617160³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25617161) 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, 90379 + ... + 90661.

It is an arithmetic number, because the mean of its divisors is an integer number (945720).

Almost surely, 2^25617160 is an apocalyptic number.

25617160 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 25617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30263040).

25617160 is an abundant number, since it is smaller than the sum of its proper divisors (34908920).

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

25617160 is a wasteful number, since it uses less digits than its factorization.

25617160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 25617160 is about 5061.3397435857. The cubic root of 25617160 is about 294.7883572459.

The spelling of 25617160 in words is "twenty-five million, six hundred seventeen thousand, one hundred sixty".