25802320 has 80 divisors (see below), whose sum is σ = 64460160. Its totient is φ = 9580032.

The previous prime is 25802317. The next prime is 25802321. The reversal of 25802320 is 2320852.

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

It is a junction number, because it is equal to n+sod(n) for n = 25802291 and 25802300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25802321) 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, 67891 + ... + 68269.

It is an arithmetic number, because the mean of its divisors is an integer number (805752).

Almost surely, 2^25802320 is an apocalyptic number.

25802320 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 25802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32230080).

25802320 is an abundant number, since it is smaller than the sum of its proper divisors (38657840).

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

25802320 is a wasteful number, since it uses less digits than its factorization.

25802320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 25802320 is about 5079.5984093233. The cubic root of 25802320 is about 295.4968931088.

It can be divided in two parts, 2580 and 2320, that added together give a square (4900 = 70²).

The spelling of 25802320 in words is "twenty-five million, eight hundred two thousand, three hundred twenty".