25632800 has 54 divisors (see below), whose sum is σ = 62927613. Its totient is φ = 10195840.

The previous prime is 25632799. The next prime is 25632809. The reversal of 25632800 is 823652.

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 2 ways, for example, as 25120144 + 512656 = 5012^2 + 716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3580.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25632800.

It is not an unprimeable number, because it can be changed into a prime (25632809) 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 8 ways as a sum of consecutive naturals, for example, 143111 + ... + 143289.

Almost surely, 2^25632800 is an apocalyptic number.

25632800 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 25632800

25632800 is an abundant number, since it is smaller than the sum of its proper divisors (37294813).

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

25632800 is an equidigital number, since it uses as much as digits as its factorization.

25632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 25632800 is about 5062.8845532957. The cubic root of 25632800 is about 294.8483372482.

The spelling of 25632800 in words is "twenty-five million, six hundred thirty-two thousand, eight hundred".