824145768 has 48 divisors (see below), whose sum is σ = 2233558080. Its totient is φ = 274531104.

The previous prime is 824145739. The next prime is 824145781. The reversal of 824145768 is 867541428.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143121 + ... + 148767.

It is an arithmetic number, because the mean of its divisors is an integer number (46532460).

Almost surely, 2^824145768 is an apocalyptic number.

It is an amenable number.

824145768 is an abundant number, since it is smaller than the sum of its proper divisors (1409412312).

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

824145768 is a wasteful number, since it uses less digits than its factorization.

824145768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7679 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 824145768 is about 28707.9391109846. The cubic root of 824145768 is about 937.5649089992.

The spelling of 824145768 in words is "eight hundred twenty-four million, one hundred forty-five thousand, seven hundred sixty-eight".