268122829 has 8 divisors (see below), whose sum is σ = 288875160. Its totient is φ = 247388736.

The previous prime is 268122817. The next prime is 268122853. The reversal of 268122829 is 928221862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49378729 + 218744100 = 7027^2 + 14790^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268122829 - 2¹⁵ = 268090061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268122791 and 268122800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268122859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52539 + ... + 57415.

It is an arithmetic number, because the mean of its divisors is an integer number (36109395).

Almost surely, 2^268122829 is an apocalyptic number.

It is an amenable number.

268122829 is a deficient number, since it is larger than the sum of its proper divisors (20752331).

268122829 is a wasteful number, since it uses less digits than its factorization.

268122829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119.

The product of its digits is 55296, while the sum is 40.

The square root of 268122829 is about 16374.4566016708. The cubic root of 268122829 is about 644.8290547121.

The spelling of 268122829 in words is "two hundred sixty-eight million, one hundred twenty-two thousand, eight hundred twenty-nine".