820024116 has 48 divisors (see below), whose sum is σ = 2016221760. Its totient is φ = 258681600.

The previous prime is 820024103. The next prime is 820024133. The reversal of 820024116 is 611420028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409630 + ... + 411626.

It is an arithmetic number, because the mean of its divisors is an integer number (42004620).

Almost surely, 2^820024116 is an apocalyptic number.

It is an amenable number.

820024116 is an abundant number, since it is smaller than the sum of its proper divisors (1196197644).

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

820024116 is a wasteful number, since it uses less digits than its factorization.

820024116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 820024116 is about 28636.0632070821. The cubic root of 820024116 is about 935.9993379716. Note that the first 3 decimals are identical.

The spelling of 820024116 in words is "eight hundred twenty million, twenty-four thousand, one hundred sixteen".