264888 has 48 divisors (see below), whose sum is σ = 775320. Its totient is φ = 81216.

The previous prime is 264881. The next prime is 264889. The reversal of 264888 is 888462.

264888 is a `hidden beast` number, since 2 + 648 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

264888 is a modest number, since divided by 888 gives 264 as remainder.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264888.

It is not an unprimeable number, because it can be changed into a prime (264881) by changing a digit.

264888 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 11 ways as a sum of consecutive naturals, for example, 795 + ... + 1077.

2²⁶⁴⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387660).

264888 is an abundant number, since it is smaller than the sum of its proper divisors (510432).

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

264888 is a wasteful number, since it uses less digits than its factorization.

264888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 264888 is about 514.6727115362. The cubic root of 264888 is about 64.2225326328. Note that the first 3 decimals are identical.

It can be divided in two parts, 264 and 888, that multiplied together give a palindrome (234432).

The spelling of 264888 in words is "two hundred sixty-four thousand, eight hundred eighty-eight".