25797120 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 6877184.

The previous prime is 25797113. The next prime is 25797127. The reversal of 25797120 is 2179752.

It is an interprime number because it is at equal distance from previous prime (25797113) and next prime (25797127).

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

It is not an unprimeable number, because it can be changed into a prime (25797127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6001 + ... + 9359.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^25797120 is an apocalyptic number.

25797120 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 25797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

25797120 is an abundant number, since it is smaller than the sum of its proper divisors (56697600).

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

25797120 is an equidigital number, since it uses as much as digits as its factorization.

25797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 25797120 is about 5079.0865320449. The cubic root of 25797120 is about 295.4770410557.

The spelling of 25797120 in words is "twenty-five million, seven hundred ninety-seven thousand, one hundred twenty".