268899072 has 144 divisors (see below), whose sum is σ = 804910848. Its totient is φ = 79073280.

The previous prime is 268899011. The next prime is 268899083. The reversal of 268899072 is 270998862.

It is a happy number.

It is a super-2 number, since 2×268899072² = 144613421844922368, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 229047 + ... + 230217.

Almost surely, 2^268899072 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 268899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402455424).

268899072 is an abundant number, since it is smaller than the sum of its proper divisors (536011776).

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

268899072 is a wasteful number, since it uses less digits than its factorization.

268899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 268899072 is about 16398.1423338133. The cubic root of 268899072 is about 645.4507371641.

The spelling of 268899072 in words is "two hundred sixty-eight million, eight hundred ninety-nine thousand, seventy-two".