264069 has 24 divisors (see below), whose sum is σ = 428792. Its totient is φ = 155520.

The previous prime is 264059. The next prime is 264071. The reversal of 264069 is 960462.

264069 = 88² + 89² + ... + 113².

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 260100 = 63^2 + 510^2 .

It is not a de Polignac number, because 264069 - 2⁴ = 264053 is a prime.

It is a super-2 number, since 2×264069² = 139464873522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2⁹ + 6² + 0 + 4⁹ + 6⁴ + 9² .

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4299 + ... + 4359.

2²⁶⁴⁰⁶⁹ is an apocalyptic number.

It is an amenable number.

264069 is a deficient number, since it is larger than the sum of its proper divisors (164723).

264069 is a wasteful number, since it uses less digits than its factorization.

264069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 264069 is about 513.8764442938. The cubic root of 264069 is about 64.1562749987.

It can be divided in two parts, 26 and 4069, that added together give a triangular number (4095 = T₉₀).

The spelling of 264069 in words is "two hundred sixty-four thousand, sixty-nine".