268338060 has 144 divisors (see below), whose sum is σ = 856311456. Its totient is φ = 67931136.

The previous prime is 268338043. The next prime is 268338067. The reversal of 268338060 is 60833862.

268338060 is a `hidden beast` number, since 268 + 338 + 0 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (268338067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285912 + ... + 286848.

Almost surely, 2^268338060 is an apocalyptic number.

268338060 is a gapful number since it is divisible by the number (20) 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 268338060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428155728).

268338060 is an abundant number, since it is smaller than the sum of its proper divisors (587973396).

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

268338060 is a wasteful number, since it uses less digits than its factorization.

268338060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 268338060 is about 16381.0274403042. The cubic root of 268338060 is about 645.0015503839.

The spelling of 268338060 in words is "two hundred sixty-eight million, three hundred thirty-eight thousand, sixty".