268019712 has 192 divisors, whose sum is σ = 821620800. Its totient is φ = 86261760.

The previous prime is 268019693. The next prime is 268019723. The reversal of 268019712 is 217910862.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045887 + ... + 2046017.

It is an arithmetic number, because the mean of its divisors is an integer number (4279275).

Almost surely, 2^268019712 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 268019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410810400).

268019712 is an abundant number, since it is smaller than the sum of its proper divisors (553601088).

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

268019712 is a wasteful number, since it uses less digits than its factorization.

268019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 268019712 is about 16371.3075836965. The cubic root of 268019712 is about 644.7463794648.

The spelling of 268019712 in words is "two hundred sixty-eight million, nineteen thousand, seven hundred twelve".