13167120 has 80 divisors (see below), whose sum is σ = 41372352. Its totient is φ = 3463680.

The previous prime is 13167107. The next prime is 13167137. The reversal of 13167120 is 2176131.

It is a tau number, because it is divible by the number of its divisors (80).

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, 19590 + ... + 20250.

Almost surely, 2^13167120 is an apocalyptic number.

13167120 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 13167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686176).

13167120 is an abundant number, since it is smaller than the sum of its proper divisors (28205232).

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

13167120 is a wasteful number, since it uses less digits than its factorization.

13167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 13167120 is about 3628.6526425107. The cubic root of 13167120 is about 236.1367588082.

The spelling of 13167120 in words is "thirteen million, one hundred sixty-seven thousand, one hundred twenty".