264006 has 16 divisors (see below), whose sum is σ = 586800. Its totient is φ = 87984.

The previous prime is 263983. The next prime is 264007. The reversal of 264006 is 600462.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 264006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264007) by changing a digit.

264006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2391 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (36675).

2²⁶⁴⁰⁰⁶ is an apocalyptic number.

264006 is an abundant number, since it is smaller than the sum of its proper divisors (322794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264006 is a wasteful number, since it uses less digits than its factorization.

264006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 264006 is about 513.8151418555. The cubic root of 264006 is about 64.1511725863.

Adding to 264006 its reverse (600462), we get a palindrome (864468).

The spelling of 264006 in words is "two hundred sixty-four thousand, six".