268832767 has 40 divisors (see below), whose sum is σ = 338808960. Its totient is φ = 212632560.

The previous prime is 268832719. The next prime is 268832783. The reversal of 268832767 is 767238862.

It is not a de Polignac number, because 268832767 - 2¹⁹ = 268308479 is a prime.

It is a super-2 number, since 2×268832767² = 144542113225752578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 268832767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268832467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3238908 + ... + 3238990.

It is an arithmetic number, because the mean of its divisors is an integer number (8470224).

Almost surely, 2^268832767 is an apocalyptic number.

268832767 is a deficient number, since it is larger than the sum of its proper divisors (69976193).

268832767 is an frugal number, since it uses more digits than its factorization.

268832767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

The square root of 268832767 is about 16396.1204862614. The cubic root of 268832767 is about 645.3976811620.

The spelling of 268832767 in words is "two hundred sixty-eight million, eight hundred thirty-two thousand, seven hundred sixty-seven".