25564000 has 192 divisors, whose sum is σ = 79252992. Its totient is φ = 7872000.

The previous prime is 25563997. The next prime is 25564001. The reversal of 25564000 is 46552.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25564001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307959 + ... + 308041.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^25564000 is an apocalyptic number.

25564000 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 25564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

25564000 is an abundant number, since it is smaller than the sum of its proper divisors (53688992).

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

25564000 is a wasteful number, since it uses less digits than its factorization.

25564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 25564000 is about 5056.0854423160. The cubic root of 25564000 is about 294.5843039010.

It can be divided in two parts, 2556 and 4000, that added together give a palindrome (6556).

The spelling of 25564000 in words is "twenty-five million, five hundred sixty-four thousand".