264820 has 12 divisors (see below), whose sum is σ = 556164. Its totient is φ = 105920.

The previous prime is 264811. The next prime is 264827. The reversal of 264820 is 28462.

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 60516 = 452^2 + 246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264791 and 264800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264827) by changing a digit.

264820 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 3 ways as a sum of consecutive naturals, for example, 6601 + ... + 6640.

It is an arithmetic number, because the mean of its divisors is an integer number (46347).

2²⁶⁴⁸²⁰ is an apocalyptic number.

264820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264820 is an abundant number, since it is smaller than the sum of its proper divisors (291344).

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

264820 is a wasteful number, since it uses less digits than its factorization.

264820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 264820 is about 514.6066458957. The cubic root of 264820 is about 64.2170365917.

The spelling of 264820 in words is "two hundred sixty-four thousand, eight hundred twenty".