268984716 has 192 divisors, whose sum is σ = 861772800. Its totient is φ = 64350720.

The previous prime is 268984711. The next prime is 268984733. The reversal of 268984716 is 617489862.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268984711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588360 + ... + 588816.

It is an arithmetic number, because the mean of its divisors is an integer number (4488400).

Almost surely, 2^268984716 is an apocalyptic number.

268984716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268984716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430886400).

268984716 is an abundant number, since it is smaller than the sum of its proper divisors (592788084).

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

268984716 is a wasteful number, since it uses less digits than its factorization.

268984716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 268984716 is about 16400.7535192747. The cubic root of 268984716 is about 645.5192549600.

The spelling of 268984716 in words is "two hundred sixty-eight million, nine hundred eighty-four thousand, seven hundred sixteen".