249068768 has 96 divisors (see below), whose sum is σ = 573441120. Its totient is φ = 105431040.

The previous prime is 249068761. The next prime is 249068779. The reversal of 249068768 is 867860942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249068761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289523 + ... + 290381.

It is an arithmetic number, because the mean of its divisors is an integer number (5973345).

Almost surely, 2^249068768 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 249068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286720560).

249068768 is an abundant number, since it is smaller than the sum of its proper divisors (324372352).

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

249068768 is a wasteful number, since it uses less digits than its factorization.

249068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 249068768 is about 15781.9126850962. The cubic root of 249068768 is about 629.1773658712.

The spelling of 249068768 in words is "two hundred forty-nine million, sixty-eight thousand, seven hundred sixty-eight".