25798560 has 96 divisors (see below), whose sum is σ = 82518912. Its totient is φ = 6773760.

The previous prime is 25798511. The next prime is 25798567. The reversal of 25798560 is 6589752.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25798567) by changing a digit.

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, 33702 + ... + 34458.

It is an arithmetic number, because the mean of its divisors is an integer number (859572).

Almost surely, 2^25798560 is an apocalyptic number.

25798560 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 25798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41259456).

25798560 is an abundant number, since it is smaller than the sum of its proper divisors (56720352).

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

25798560 is a wasteful number, since it uses less digits than its factorization.

25798560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 25798560 is about 5079.2282878406. The cubic root of 25798560 is about 295.4825388144.

The spelling of 25798560 in words is "twenty-five million, seven hundred ninety-eight thousand, five hundred sixty".