268964892 has 72 divisors (see below), whose sum is σ = 780220896. Its totient is φ = 76529664.

The previous prime is 268964887. The next prime is 268964947. The reversal of 268964892 is 298469862.

It is a happy number.

It is a super-2 number, since 2×268964892² = 144684226257143328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62688 + ... + 66840.

Almost surely, 2^268964892 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 268964892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390110448).

268964892 is an abundant number, since it is smaller than the sum of its proper divisors (511256004).

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

268964892 is a wasteful number, since it uses less digits than its factorization.

268964892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4422 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 268964892 is about 16400.1491456633. The cubic root of 268964892 is about 645.5033964529.

The spelling of 268964892 in words is "two hundred sixty-eight million, nine hundred sixty-four thousand, eight hundred ninety-two".