25834320 has 120 divisors (see below), whose sum is σ = 88527816. Its totient is φ = 6749184.

The previous prime is 25834279. The next prime is 25834321. The reversal of 25834320 is 2343852.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 12787776 = 3612^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25834321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37822 + ... + 38498.

Almost surely, 2^25834320 is an apocalyptic number.

25834320 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 25834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44263908).

25834320 is an abundant number, since it is smaller than the sum of its proper divisors (62693496).

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

25834320 is a wasteful number, since it uses less digits than its factorization.

25834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 25834320 is about 5082.7472886226. The cubic root of 25834320 is about 295.6190009167.

It can be divided in two parts, 2583 and 4320, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 25834320 in words is "twenty-five million, eight hundred thirty-four thousand, three hundred twenty".