268533769 has 9 divisors (see below), whose sum is σ = 312509511. Its totient is φ = 230073480.

The previous prime is 268533757. The next prime is 268533781. The reversal of 268533769 is 967335862.

It is a happy number.

The square root of 268533769 is 16387.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (268533757) and next prime (268533781).

It can be written as a sum of positive squares in only one way, i.e., 175218169 + 93315600 = 13237^2 + 9660^2 .

It is not a de Polignac number, because 268533769 - 2¹³ = 268525577 is a prime.

It is a super-2 number, since 2×268533769² = 144220770186690722, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268533709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113539 + ... + 115879.

It is an arithmetic number, because the mean of its divisors is an integer number (34723279).

Almost surely, 2^268533769 is an apocalyptic number.

268533769 is the 16387-th square number.

268533769 is the 8194-th centered octagonal number.

It is an amenable number.

268533769 is a deficient number, since it is larger than the sum of its proper divisors (43975742).

268533769 is an frugal number, since it uses more digits than its factorization.

268533769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 2348 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

The cubic root of 268533769 is about 645.1583202089.

Multiplying 268533769 by its sum of digits (49), we get a square (13158154681 = 114709²).

268533769 divided by its sum of digits (49) gives a square (5480281 = 2341²).

The spelling of 268533769 in words is "two hundred sixty-eight million, five hundred thirty-three thousand, seven hundred sixty-nine".