268754382 has 64 divisors (see below), whose sum is σ = 645765120. Its totient is φ = 82360800.

The previous prime is 268754357. The next prime is 268754389. The reversal of 268754382 is 283457862.

268754382 is a `hidden beast` number, since 26 + 8 + 7 + 543 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268754389) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 217707 + ... + 218937.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^268754382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268754382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

268754382 is an abundant number, since it is smaller than the sum of its proper divisors (377010738).

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

268754382 is a wasteful number, since it uses less digits than its factorization.

268754382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1560 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 268754382 is about 16393.7299599573. The cubic root of 268754382 is about 645.3349477193.

The spelling of 268754382 in words is "two hundred sixty-eight million, seven hundred fifty-four thousand, three hundred eighty-two".