8216120 has 64 divisors (see below), whose sum is σ = 20528640. Its totient is φ = 2934400.

The previous prime is 8216111. The next prime is 8216123. The reversal of 8216120 is 216128.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8216092 and 8216101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31109 + ... + 31371.

It is an arithmetic number, because the mean of its divisors is an integer number (320760).

Almost surely, 2^8216120 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 8216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264320).

8216120 is an abundant number, since it is smaller than the sum of its proper divisors (12312520).

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

8216120 is a wasteful number, since it uses less digits than its factorization.

8216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8216120 is about 2866.3775047959. The cubic root of 8216120 is about 201.7850211016.

The spelling of 8216120 in words is "eight million, two hundred sixteen thousand, one hundred twenty".