268402689 has 27 divisors (see below), whose sum is σ = 400068513. Its totient is φ = 173397672.

The previous prime is 268402679. The next prime is 268402697. The reversal of 268402689 is 986204862.

The square root of 268402689 is 16383.

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

268402689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268402689 - 2⁵ = 268402657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268402669) 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, 2113344 + ... + 2113470.

It is a Proth number, since it is equal to 8191 ⋅ 2¹⁵ + 1 and 8191 < 2¹⁵.

Almost surely, 2^268402689 is an apocalyptic number.

268402689 is the 16383-rd square number.

268402689 is the 8192-nd centered octagonal number.

It is an amenable number.

268402689 is a deficient number, since it is larger than the sum of its proper divisors (131665824).

268402689 is an equidigital number, since it uses as much as digits as its factorization.

268402689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 268402689 is about 645.0533289239.

Multiplying 268402689 by its product of nonzero digits (331776), we get a square (89049570545664 = 9436608²).

The spelling of 268402689 in words is "two hundred sixty-eight million, four hundred two thousand, six hundred eighty-nine".