264516 has 48 divisors (see below), whose sum is σ = 731136. Its totient is φ = 72864.

The previous prime is 264487. The next prime is 264527. The reversal of 264516 is 615462.

It is an unprimeable number.

264516 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 15 ways as a sum of consecutive naturals, for example, 3915 + ... + 3981.

It is an arithmetic number, because the mean of its divisors is an integer number (15232).

2²⁶⁴⁵¹⁶ 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 264516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365568).

264516 is an abundant number, since it is smaller than the sum of its proper divisors (466620).

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

264516 is a wasteful number, since it uses less digits than its factorization.

264516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 264516 is about 514.3111898452. The cubic root of 264516 is about 64.1924545436.

Adding to 264516 its reverse (615462), we get a palindrome (879978).

It can be divided in two parts, 264 and 516, that added together give a triangular number (780 = T₃₉).

The spelling of 264516 in words is "two hundred sixty-four thousand, five hundred sixteen".