25803360 has 240 divisors, whose sum is σ = 99891792. Its totient is φ = 6220800.

The previous prime is 25803353. The next prime is 25803367. The reversal of 25803360 is 6330852.

It is an interprime number because it is at equal distance from previous prime (25803353) and next prime (25803367).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25803367) 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 39 ways as a sum of consecutive naturals, for example, 142470 + ... + 142650.

Almost surely, 2^25803360 is an apocalyptic number.

25803360 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 25803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945896).

25803360 is an abundant number, since it is smaller than the sum of its proper divisors (74088432).

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

25803360 is a wasteful number, since it uses less digits than its factorization.

25803360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 25803360 is about 5079.7007785892. The cubic root of 25803360 is about 295.5008631993.

The spelling of 25803360 in words is "twenty-five million, eight hundred three thousand, three hundred sixty".