264800 has 36 divisors (see below), whose sum is σ = 648396. Its totient is φ = 105600.

The previous prime is 264793. The next prime is 264811. The reversal of 264800 is 8462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

264800 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 635 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (18011).

2²⁶⁴⁸⁰⁰ is an apocalyptic number.

264800 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 264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324198).

264800 is an abundant number, since it is smaller than the sum of its proper divisors (383596).

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

264800 is a wasteful number, since it uses less digits than its factorization.

264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 264800 is about 514.5872132107. The cubic root of 264800 is about 64.2154199300.

It can be divided in two parts, 2 and 64800, that multiplied together give a square (129600 = 360²).

The spelling of 264800 in words is "two hundred sixty-four thousand, eight hundred".