25653120 has 128 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 6604800.

The previous prime is 25653109. The next prime is 25653137. The reversal of 25653120 is 2135652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59305 + ... + 59735.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 2^25653120 is an apocalyptic number.

25653120 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 25653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440).

25653120 is an abundant number, since it is smaller than the sum of its proper divisors (58949760).

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

25653120 is a wasteful number, since it uses less digits than its factorization.

25653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 25653120 is about 5064.8909168905. The cubic root of 25653120 is about 294.9262288004.

Adding to 25653120 its reverse (2135652), we get a palindrome (27788772).

The spelling of 25653120 in words is "twenty-five million, six hundred fifty-three thousand, one hundred twenty".