824880240 has 320 divisors, whose sum is σ = 2986475520. Its totient is φ = 209018880.

The previous prime is 824880229. The next prime is 824880253. The reversal of 824880240 is 42088428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 824880195 and 824880204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6495057 + ... + 6495183.

It is an arithmetic number, because the mean of its divisors is an integer number (9332736).

Almost surely, 2^824880240 is an apocalyptic number.

824880240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493237760).

824880240 is an abundant number, since it is smaller than the sum of its proper divisors (2161595280).

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

824880240 is a wasteful number, since it uses less digits than its factorization.

824880240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 824880240 is about 28720.7284030193. The cubic root of 824880240 is about 937.8433430412.

It can be divided in two parts, 8248 and 80240, that added together give a palindrome (88488).

The spelling of 824880240 in words is "eight hundred twenty-four million, eight hundred eighty thousand, two hundred forty".