249568 has 24 divisors (see below), whose sum is σ = 536760. Its totient is φ = 113280.

The previous prime is 249563. The next prime is 249583. The reversal of 249568 is 865942.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249563) by changing a digit.

249568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 706.

It is an arithmetic number, because the mean of its divisors is an integer number (22365).

249568 is a Friedman number, since it can be written as 8*(92+6^5*4), using all its digits and the basic arithmetic operations.

2²⁴⁹⁵⁶⁸ 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 249568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268380).

249568 is an abundant number, since it is smaller than the sum of its proper divisors (287192).

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

249568 is a wasteful number, since it uses less digits than its factorization.

249568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 249568 is about 499.5678132146. The cubic root of 249568 is about 62.9597458478.

It can be divided in two parts, 24956 and 8, that added together give a square (24964 = 158²).

The spelling of 249568 in words is "two hundred forty-nine thousand, five hundred sixty-eight".