824240 has 20 divisors (see below), whose sum is σ = 1916544. Its totient is φ = 329664.

The previous prime is 824233. The next prime is 824269. The reversal of 824240 is 42428.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) 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 (20).

It is an unprimeable number.

824240 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 3 ways as a sum of consecutive naturals, for example, 5072 + ... + 5231.

2⁸²⁴²⁴⁰ is an apocalyptic number.

824240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

824240 is an abundant number, since it is smaller than the sum of its proper divisors (1092304).

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

824240 is a wasteful number, since it uses less digits than its factorization.

824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 824240 is about 907.8766436031. The cubic root of 824240 is about 93.7600641048.

Adding to 824240 its reverse (42428), we get a palindrome (866668).

The spelling of 824240 in words is "eight hundred twenty-four thousand, two hundred forty".