824340 has 48 divisors (see below), whose sum is σ = 2520000. Its totient is φ = 199680.

The previous prime is 824339. The next prime is 824393. The reversal of 824340 is 43428.

It is a happy number.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 36 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

2⁸²⁴³⁴⁰ 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 824340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000).

824340 is an abundant number, since it is smaller than the sum of its proper divisors (1695660).

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

824340 is a wasteful number, since it uses less digits than its factorization.

824340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 824340 is about 907.9317154941. The cubic root of 824340 is about 93.7638557299.

Adding to 824340 its reverse (43428), we get a palindrome (867768).

The spelling of 824340 in words is "eight hundred twenty-four thousand, three hundred forty".