264816 has 40 divisors (see below), whose sum is σ = 761360. Its totient is φ = 88128.

The previous prime is 264811. The next prime is 264827. The reversal of 264816 is 618462.

264816 = 75² + 76² + ... + 106².

264816 is a `hidden beast` number, since 2 + 648 + 16 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 264816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264811) by changing a digit.

264816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (19034).

2²⁶⁴⁸¹⁶ 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 264816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380680).

264816 is an abundant number, since it is smaller than the sum of its proper divisors (496544).

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

264816 is a wasteful number, since it uses less digits than its factorization.

264816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 264816 is about 514.6027594174. The cubic root of 264816 is about 64.2167132659.

The spelling of 264816 in words is "two hundred sixty-four thousand, eight hundred sixteen".