824264 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 343680.

The previous prime is 824233. The next prime is 824269. The reversal of 824264 is 462428.

It is a super-2 number, since 2×824264² = 1358822283392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (824269) by changing a digit.

824264 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, 2117 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁸²⁴²⁶⁴ 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 824264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

824264 is an abundant number, since it is smaller than the sum of its proper divisors (990136).

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

824264 is a wasteful number, since it uses less digits than its factorization.

824264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 824264 is about 907.8898611616. The cubic root of 824264 is about 93.7609741228.

The spelling of 824264 in words is "eight hundred twenty-four thousand, two hundred sixty-four".