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25568 = 251747

25568 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 11776.

The previous prime is 25561. The next prime is 25577. The reversal of 25568 is 86552.

25568 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25561) 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 3 ways as a sum of consecutive naturals, for example, 521 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

225568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

25568 is an abundant number, since it is smaller than the sum of its proper divisors (28864).

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

25568 is a wasteful number, since it uses less digits than its factorization.

25568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 25568 is about 159.8999687305. The cubic root of 25568 is about 29.4599667639.

It can be divided in two parts, 255 and 68, that added together give a palindrome (323).

The spelling of 25568 in words is "twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 544 752 799 1504 1598 3196 6392 12784 25568