249696 has 72 divisors (see below), whose sum is σ = 773640. Its totient is φ = 78336.

The previous prime is 249677. The next prime is 249703. The reversal of 249696 is 696942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 249696.

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 249696.

It is an unprimeable number.

249696 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 11 ways as a sum of consecutive naturals, for example, 14680 + ... + 14696.

It is an arithmetic number, because the mean of its divisors is an integer number (10745).

249696 is a Friedman number, since it can be written as 96*(9+6^4*2), using all its digits and the basic arithmetic operations.

2²⁴⁹⁶⁹⁶ 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 249696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386820).

249696 is an abundant number, since it is smaller than the sum of its proper divisors (523944).

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

249696 is a wasteful number, since it uses less digits than its factorization.

249696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 249696 is about 499.6959075278. The cubic root of 249696 is about 62.9705077379.

The spelling of 249696 in words is "two hundred forty-nine thousand, six hundred ninety-six".