13167220 has 36 divisors (see below), whose sum is σ = 30399012. Its totient is φ = 4787200.

The previous prime is 13167199. The next prime is 13167221. The reversal of 13167220 is 2276131.

13167220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7203856 + 5963364 = 2684^2 + 2442^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13167191 and 13167200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13167221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301 + ... + 5140.

It is an arithmetic number, because the mean of its divisors is an integer number (844417).

Almost surely, 2^13167220 is an apocalyptic number.

13167220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13167220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199506).

13167220 is an abundant number, since it is smaller than the sum of its proper divisors (17231792).

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

13167220 is a wasteful number, since it uses less digits than its factorization.

13167220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13167220 is about 3628.6664217037. Note that the first 3 decimals coincide. The cubic root of 13167220 is about 236.1373566006.

The spelling of 13167220 in words is "thirteen million, one hundred sixty-seven thousand, two hundred twenty".