25678160 has 80 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 9504768.

The previous prime is 25678153. The next prime is 25678183. The reversal of 25678160 is 6187652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 25678160.

It is a congruent number.

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, 107321 + ... + 107559.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^25678160 is an apocalyptic number.

25678160 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 25678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

25678160 is an abundant number, since it is smaller than the sum of its proper divisors (38603440).

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

25678160 is a wasteful number, since it uses less digits than its factorization.

25678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 25678160 is about 5067.3622329571. The cubic root of 25678160 is about 295.0221567194.

The spelling of 25678160 in words is "twenty-five million, six hundred seventy-eight thousand, one hundred sixty".