8133820 has 48 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 2991104.

The previous prime is 8133809. The next prime is 8133841. The reversal of 8133820 is 283318.

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 15726 + ... + 16234.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^8133820 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 8133820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

8133820 is an abundant number, since it is smaller than the sum of its proper divisors (10373060).

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

8133820 is a wasteful number, since it uses less digits than its factorization.

8133820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8133820 is about 2851.9852734543. The cubic root of 8133820 is about 201.1090058307.

The spelling of 8133820 in words is "eight million, one hundred thirty-three thousand, eight hundred twenty".