25832320 has 64 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 10229760.

The previous prime is 25832311. The next prime is 25832329. The reversal of 25832320 is 2323852.

It is an interprime number because it is at equal distance from previous prime (25832311) and next prime (25832329).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25832329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115729 + ... + 115951.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^25832320 is an apocalyptic number.

25832320 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 25832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

25832320 is an abundant number, since it is smaller than the sum of its proper divisors (36542720).

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

25832320 is a wasteful number, since it uses less digits than its factorization.

25832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 25832320 is about 5082.5505408210. The cubic root of 25832320 is about 295.6113721338.

The spelling of 25832320 in words is "twenty-five million, eight hundred thirty-two thousand, three hundred twenty".