25344000 has 288 divisors, whose sum is σ = 99655920. Its totient is φ = 6144000.

The previous prime is 25343987. The next prime is 25344013. The reversal of 25344000 is 44352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25343987) and next prime (25344013).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2303995 + ... + 2304005.

Almost surely, 2^25344000 is an apocalyptic number.

25344000 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 25344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827960).

25344000 is an abundant number, since it is smaller than the sum of its proper divisors (74311920).

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

25344000 is a wasteful number, since it uses less digits than its factorization.

25344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25344000 is about 5034.2824712167. The cubic root of 25344000 is about 293.7368184820.

Adding to 25344000 its reverse (44352), we get a palindrome (25388352).

It can be divided in two parts, 253 and 44000, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 25344000 in words is "twenty-five million, three hundred forty-four thousand".