268206129 has 27 divisors (see below), whose sum is σ = 398727147. Its totient is φ = 173727216.

The previous prime is 268206053. The next prime is 268206131. The reversal of 268206129 is 921602862.

It is a happy number.

The square root of 268206129 is 16377.

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

268206129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193349025 + 74857104 = 13905^2 + 8652^2 .

It is a de Polignac number, because none of the positive numbers 2^k-268206129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 268206093 and 268206102.

It is not an unprimeable number, because it can be changed into a prime (268206149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2603892 + ... + 2603994.

Almost surely, 2^268206129 is an apocalyptic number.

268206129 is the 16377-th square number.

268206129 is the 8189-th centered octagonal number.

It is an amenable number.

268206129 is a deficient number, since it is larger than the sum of its proper divisors (130521018).

268206129 is an equidigital number, since it uses as much as digits as its factorization.

268206129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 268206129 is about 644.8958259737.

Multiplying 268206129 by its sum of digits (36), we get a square (9655420644 = 98262²).

Multiplying 268206129 by its product of nonzero digits (20736), we get a square (5561522290944 = 2358288²).

The spelling of 268206129 in words is "two hundred sixty-eight million, two hundred six thousand, one hundred twenty-nine".