268687144 has 16 divisors (see below), whose sum is σ = 549587520. Its totient is φ = 122130480.

The previous prime is 268687141. The next prime is 268687163. The reversal of 268687144 is 441786862.

It is a junction number, because it is equal to n+sod(n) for n = 268687094 and 268687103.

It is not an unprimeable number, because it can be changed into a prime (268687141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526544 + ... + 1526719.

It is an arithmetic number, because the mean of its divisors is an integer number (34349220).

Almost surely, 2^268687144 is an apocalyptic number.

It is an amenable number.

268687144 is an abundant number, since it is smaller than the sum of its proper divisors (280900376).

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

268687144 is a wasteful number, since it uses less digits than its factorization.

268687144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053280 (or 3053276 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 268687144 is about 16391.6791086209. The cubic root of 268687144 is about 645.2811257748.

The spelling of 268687144 in words is "two hundred sixty-eight million, six hundred eighty-seven thousand, one hundred forty-four".