264784 has 40 divisors (see below), whose sum is σ = 590240. Its totient is φ = 114048.

The previous prime is 264779. The next prime is 264787. The reversal of 264784 is 487462.

It is a super-2 number, since 2×264784² = 140221133312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264787) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3919 + ... + 3985.

It is an arithmetic number, because the mean of its divisors is an integer number (14756).

2²⁶⁴⁷⁸⁴ 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 264784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295120).

264784 is an abundant number, since it is smaller than the sum of its proper divisors (325456).

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

264784 is a wasteful number, since it uses less digits than its factorization.

264784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 264784 is about 514.5716665344. The cubic root of 264784 is about 64.2141265420.

The spelling of 264784 in words is "two hundred sixty-four thousand, seven hundred eighty-four".