8227120 has 40 divisors (see below), whose sum is σ = 20869200. Its totient is φ = 2991360.

The previous prime is 8227117. The next prime is 8227127. The reversal of 8227120 is 217228.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8227091 and 8227100.

It is not an unprimeable number, because it can be changed into a prime (8227127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3795 + ... + 5554.

It is an arithmetic number, because the mean of its divisors is an integer number (521730).

Almost surely, 2^8227120 is an apocalyptic number.

8227120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8227120 is an abundant number, since it is smaller than the sum of its proper divisors (12642080).

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

8227120 is a wasteful number, since it uses less digits than its factorization.

8227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 8227120 is about 2868.2956611898. The cubic root of 8227120 is about 201.8750329886.

The spelling of 8227120 in words is "eight million, two hundred twenty-seven thousand, one hundred twenty".