269232768 has 256 divisors, whose sum is σ = 940032000. Its totient is φ = 74234880.

The previous prime is 269232767. The next prime is 269232787. The reversal of 269232768 is 867232962.

269232768 is a `hidden beast` number, since 269 + 2 + 327 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (269232767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 749773 + ... + 750131.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 2^269232768 is an apocalyptic number.

269232768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470016000).

269232768 is an abundant number, since it is smaller than the sum of its proper divisors (670799232).

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

269232768 is a wasteful number, since it uses less digits than its factorization.

269232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 269232768 is about 16408.3139901697. The cubic root of 269232768 is about 645.7176220511.

The spelling of 269232768 in words is "two hundred sixty-nine million, two hundred thirty-two thousand, seven hundred sixty-eight".