268096416 has 96 divisors (see below), whose sum is σ = 832083840. Its totient is φ = 73952256.

The previous prime is 268096397. The next prime is 268096421. The reversal of 268096416 is 614690862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12610 + ... + 26366.

It is an arithmetic number, because the mean of its divisors is an integer number (8667540).

Almost surely, 2^268096416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416041920).

268096416 is an abundant number, since it is smaller than the sum of its proper divisors (563987424).

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

268096416 is a wasteful number, since it uses less digits than its factorization.

268096416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13806 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 268096416 is about 16373.6500512256. The cubic root of 268096416 is about 644.8078798036.

The spelling of 268096416 in words is "two hundred sixty-eight million, ninety-six thousand, four hundred sixteen".