25968200 has 24 divisors (see below), whose sum is σ = 60376530. Its totient is φ = 10387200.

The previous prime is 25968199. The next prime is 25968221. The reversal of 25968200 is 286952.

It can be written as a sum of positive squares in 3 ways, for example, as 21362884 + 4605316 = 4622^2 + 2146^2 .

It is a super-3 number, since 3×25968200³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 64721 + ... + 65120.

Almost surely, 2^25968200 is an apocalyptic number.

25968200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25968200 is an abundant number, since it is smaller than the sum of its proper divisors (34408330).

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

25968200 is a wasteful number, since it uses less digits than its factorization.

25968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129857 (or 129848 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 25968200 is about 5095.9003129967. The cubic root of 25968200 is about 296.1287788808.

The spelling of 25968200 in words is "twenty-five million, nine hundred sixty-eight thousand, two hundred".