268186672 has 80 divisors (see below), whose sum is σ = 597184000. Its totient is φ = 115644672.

The previous prime is 268186669. The next prime is 268186703. The reversal of 268186672 is 276681862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311779 + ... + 312637.

It is an arithmetic number, because the mean of its divisors is an integer number (7464800).

Almost surely, 2^268186672 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 268186672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298592000).

268186672 is an abundant number, since it is smaller than the sum of its proper divisors (328997328).

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

268186672 is a wasteful number, since it uses less digits than its factorization.

268186672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 268186672 is about 16376.4059549096. The cubic root of 268186672 is about 644.8802309516.

The spelling of 268186672 in words is "two hundred sixty-eight million, one hundred eighty-six thousand, six hundred seventy-two".