268075392 has 128 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 81364992.

The previous prime is 268075331. The next prime is 268075399. The reversal of 268075392 is 293570862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268075399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414013 + ... + 414659.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2^268075392 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 268075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

268075392 is an abundant number, since it is smaller than the sum of its proper divisors (509213568).

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

268075392 is a wasteful number, since it uses less digits than its factorization.

268075392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 268075392 is about 16373.0080315133. The cubic root of 268075392 is about 644.7910241820.

The spelling of 268075392 in words is "two hundred sixty-eight million, seventy-five thousand, three hundred ninety-two".