268088072 has 32 divisors (see below), whose sum is σ = 579856320. Its totient is φ = 113818560.

The previous prime is 268088071. The next prime is 268088087. The reversal of 268088072 is 270880862.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268088071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16379 + ... + 28362.

It is an arithmetic number, because the mean of its divisors is an integer number (18120510).

Almost surely, 2^268088072 is an apocalyptic number.

It is an amenable number.

268088072 is an abundant number, since it is smaller than the sum of its proper divisors (311768248).

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

268088072 is a wasteful number, since it uses less digits than its factorization.

268088072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44861 (or 44857 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 268088072 is about 16373.3952496115. The cubic root of 268088072 is about 644.8011902541.

The spelling of 268088072 in words is "two hundred sixty-eight million, eighty-eight thousand, seventy-two".