25896400 has 60 divisors (see below), whose sum is σ = 62930124. Its totient is φ = 10240000.

The previous prime is 25896397. The next prime is 25896421. The reversal of 25896400 is 469852.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3655744 + 22240656 = 1912^2 + 4716^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 40080 + ... + 40720.

Almost surely, 2^25896400 is an apocalyptic number.

25896400 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 25896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31465062).

25896400 is an abundant number, since it is smaller than the sum of its proper divisors (37033724).

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

25896400 is a wasteful number, since it uses less digits than its factorization.

25896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 25896400 is about 5088.8505578372. The cubic root of 25896400 is about 295.8556028112.

The spelling of 25896400 in words is "twenty-five million, eight hundred ninety-six thousand, four hundred".