824511340 has 48 divisors (see below), whose sum is σ = 1799368704. Its totient is φ = 317016000.

The previous prime is 824511329. The next prime is 824511341. The reversal of 824511340 is 43115428.

It is a junction number, because it is equal to n+sod(n) for n = 824511299 and 824511308.

It is not an unprimeable number, because it can be changed into a prime (824511341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89217 + ... + 98023.

It is an arithmetic number, because the mean of its divisors is an integer number (37486848).

Almost surely, 2^824511340 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 824511340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899684352).

824511340 is an abundant number, since it is smaller than the sum of its proper divisors (974857364).

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

824511340 is a wasteful number, since it uses less digits than its factorization.

824511340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 824511340 is about 28714.3054939520. The cubic root of 824511340 is about 937.7035158761.

Adding to 824511340 its reverse (43115428), we get a palindrome (867626768).

The spelling of 824511340 in words is "eight hundred twenty-four million, five hundred eleven thousand, three hundred forty".