268748416 has 32 divisors (see below), whose sum is σ = 536136480. Its totient is φ = 134188800.

The previous prime is 268748413. The next prime is 268748429. The reversal of 268748416 is 614847862.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×268748416² = 144451422205018112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268748413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184491 + ... + 185941.

It is an arithmetic number, because the mean of its divisors is an integer number (16754265).

Almost surely, 2^268748416 is an apocalyptic number.

It is an amenable number.

268748416 is a deficient number, since it is larger than the sum of its proper divisors (267388064).

268748416 is a wasteful number, since it uses less digits than its factorization.

268748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2900 counting only the distinct ones).

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

The square root of 268748416 is about 16393.5479991367. The cubic root of 268748416 is about 645.3301724834.

The spelling of 268748416 in words is "two hundred sixty-eight million, seven hundred forty-eight thousand, four hundred sixteen".