25920000 has 250 divisors, whose sum is σ = 96674523. Its totient is φ = 6912000.

The previous prime is 25919977. The next prime is 25920007. The reversal of 25920000 is 2952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 19927296 = 2448^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3600.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (25920007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 5183998 + ... + 5184002.

Almost surely, 2^25920000 is an apocalyptic number.

25920000 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 25920000

25920000 is an abundant number, since it is smaller than the sum of its proper divisors (70754523).

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

25920000 is an frugal number, since it uses more digits than its factorization.

25920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 25920000 is about 5091.1688245431. The cubic root of 25920000 is about 295.9454489197.

Multiplying 25920000 by its sum of digits (18), we get a square (466560000 = 21600²).

25920000 divided by its sum of digits (18) gives a square (1440000 = 1200²).

Adding to 25920000 its reverse (2952), we get a palindrome (25922952).

The spelling of 25920000 in words is "twenty-five million, nine hundred twenty thousand".