268118424 has 384 divisors, whose sum is σ = 974937600. Its totient is φ = 67184640.

The previous prime is 268118423. The next prime is 268118437. The reversal of 268118424 is 424811862.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268118423) 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 95 ways as a sum of consecutive naturals, for example, 4395354 + ... + 4395414.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^268118424 is an apocalyptic number.

268118424 is a gapful number since it is divisible by the number (24) 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 268118424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

268118424 is an abundant number, since it is smaller than the sum of its proper divisors (706819176).

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

268118424 is a wasteful number, since it uses less digits than its factorization.

268118424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 268118424 is about 16374.3220928379. The cubic root of 268118424 is about 644.8255233859.

The spelling of 268118424 in words is "two hundred sixty-eight million, one hundred eighteen thousand, four hundred twenty-four".