264000 has 112 divisors (see below), whose sum is σ = 950976. Its totient is φ = 64000.

The previous prime is 263983. The next prime is 264007. The reversal of 264000 is 462.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23995 + ... + 24005.

2²⁶⁴⁰⁰⁰ is an apocalyptic number.

264000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264000 is the 275-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

264000 is an abundant number, since it is smaller than the sum of its proper divisors (686976).

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

264000 is a wasteful number, since it uses less digits than its factorization.

264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 264000 is about 513.8093031466. The cubic root of 264000 is about 64.1506865999.

Adding to 264000 its reverse (462), we get a palindrome (264462).

The spelling of 264000 in words is "two hundred sixty-four thousand".