25814320 has 80 divisors (see below), whose sum is σ = 70852608. Its totient is φ = 8559360.

The previous prime is 25814317. The next prime is 25814323. The reversal of 25814320 is 2341852.

It is an interprime number because it is at equal distance from previous prime (25814317) and next prime (25814323).

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

It is not an unprimeable number, because it can be changed into a prime (25814323) 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, 16617 + ... + 18103.

Almost surely, 2^25814320 is an apocalyptic number.

25814320 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 25814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35426304).

25814320 is an abundant number, since it is smaller than the sum of its proper divisors (45038288).

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

25814320 is a wasteful number, since it uses less digits than its factorization.

25814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 25814320 is about 5080.7794677589. The cubic root of 25814320 is about 295.5426953615.

The spelling of 25814320 in words is "twenty-five million, eight hundred fourteen thousand, three hundred twenty".