25992800 has 36 divisors (see below), whose sum is σ = 63456876. Its totient is φ = 10396800.

The previous prime is 25992797. The next prime is 25992803. The reversal of 25992800 is 829952.

It is an interprime number because it is at equal distance from previous prime (25992797) and next prime (25992803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25992803) 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 5 ways as a sum of consecutive naturals, for example, 15446 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (1762691).

Almost surely, 2^25992800 is an apocalyptic number.

25992800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25992800 is an abundant number, since it is smaller than the sum of its proper divisors (37464076).

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

25992800 is a wasteful number, since it uses less digits than its factorization.

25992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32511 (or 32498 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 25992800 is about 5098.3134466213. The cubic root of 25992800 is about 296.2222581985. Note that the first 4 decimals are identical.

It can be divided in two parts, 25992 and 800, that multiplied together give a square (20793600 = 4560²).

The spelling of 25992800 in words is "twenty-five million, nine hundred ninety-two thousand, eight hundred".