25982800 has 60 divisors (see below), whose sum is σ = 66112956. Its totient is φ = 9779200.

The previous prime is 25982797. The next prime is 25982813. The reversal of 25982800 is 828952.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 24561936 = 1192^2 + 4956^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4890 + ... + 8710.

Almost surely, 2^25982800 is an apocalyptic number.

25982800 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 25982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33056478).

25982800 is an abundant number, since it is smaller than the sum of its proper divisors (40130156).

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

25982800 is a wasteful number, since it uses less digits than its factorization.

25982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 25982800 is about 5097.3326358008. The cubic root of 25982800 is about 296.1842655937.

The spelling of 25982800 in words is "twenty-five million, nine hundred eighty-two thousand, eight hundred".