264036000 has 96 divisors (see below), whose sum is σ = 865021248. Its totient is φ = 70406400.

The previous prime is 264035977. The next prime is 264036013. The reversal of 264036000 is 630462.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999 + ... + 23001.

It is an arithmetic number, because the mean of its divisors is an integer number (9010638).

Almost surely, 2^264036000 is an apocalyptic number.

264036000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432510624).

264036000 is an abundant number, since it is smaller than the sum of its proper divisors (600985248).

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

264036000 is a wasteful number, since it uses less digits than its factorization.

264036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22031 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 264036000 is about 16249.1845949266. The cubic root of 264036000 is about 641.5360240768.

Adding to 264036000 its reverse (630462), we get a palindrome (264666462).

The spelling of 264036000 in words is "two hundred sixty-four million, thirty-six thousand".