249606 has 36 divisors (see below), whose sum is σ = 631332. Its totient is φ = 71064.

The previous prime is 249593. The next prime is 249607. The reversal of 249606 is 606942.

It is a super-4 number, since 4×249606⁴ (a number of 23 digits) contains 4444 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 249606.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249606.

It is not an unprimeable number, because it can be changed into a prime (249607) by changing a digit.

249606 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 17 ways as a sum of consecutive naturals, for example, 741 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (17537).

2²⁴⁹⁶⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315666).

249606 is an abundant number, since it is smaller than the sum of its proper divisors (381726).

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

249606 is a wasteful number, since it uses less digits than its factorization.

249606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 249606 is about 499.6058446416. The cubic root of 249606 is about 62.9629411679.

The spelling of 249606 in words is "two hundred forty-nine thousand, six hundred six".