25323600 has 120 divisors (see below), whose sum is σ = 83030400. Its totient is φ = 6594560.

The previous prime is 25323589. The next prime is 25323607. The reversal of 25323600 is 632352.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25323607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56176 + ... + 56624.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 2^25323600 is an apocalyptic number.

25323600 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 25323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41515200).

25323600 is an abundant number, since it is smaller than the sum of its proper divisors (57706800).

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

25323600 is a wasteful number, since it uses less digits than its factorization.

25323600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 25323600 is about 5032.2559553345. The cubic root of 25323600 is about 293.6579853646.

Adding to 25323600 its reverse (632352), we get a palindrome (25955952).

The spelling of 25323600 in words is "twenty-five million, three hundred twenty-three thousand, six hundred".