268414146 has 96 divisors (see below), whose sum is σ = 780893568. Its totient is φ = 64350720.

The previous prime is 268414103. The next prime is 268414147. The reversal of 268414146 is 641414862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268414146.

It is not an unprimeable number, because it can be changed into a prime (268414147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10570 + ... + 25466.

It is an arithmetic number, because the mean of its divisors is an integer number (8134308).

Almost surely, 2^268414146 is an apocalyptic number.

268414146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268414146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390446784).

268414146 is an abundant number, since it is smaller than the sum of its proper divisors (512479422).

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

268414146 is a wasteful number, since it uses less digits than its factorization.

268414146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14936 (or 14933 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 268414146 is about 16383.3496575029. The cubic root of 268414146 is about 645.0625070124.

It can be divided in two parts, 268 and 414146, that added together give a palindrome (414414).

The spelling of 268414146 in words is "two hundred sixty-eight million, four hundred fourteen thousand, one hundred forty-six".