268981146 has 48 divisors (see below), whose sum is σ = 668663424. Its totient is φ = 76550112.

The previous prime is 268981099. The next prime is 268981169. The reversal of 268981146 is 641189862.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29080 + ... + 37196.

It is an arithmetic number, because the mean of its divisors is an integer number (13930488).

Almost surely, 2^268981146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268981146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334331712).

268981146 is an abundant number, since it is smaller than the sum of its proper divisors (399682278).

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

268981146 is a wasteful number, since it uses less digits than its factorization.

268981146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8392 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 268981146 is about 16400.6446824507. The cubic root of 268981146 is about 645.5163991423.

The spelling of 268981146 in words is "two hundred sixty-eight million, nine hundred eighty-one thousand, one hundred forty-six".