67120 has 20 divisors (see below), whose sum is σ = 156240. Its totient is φ = 26816.

The previous prime is 67103. The next prime is 67121. The reversal of 67120 is 2176.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 67094 and 67103.

It is not an unprimeable number, because it can be changed into a prime (67121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 340 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁶⁷¹²⁰ is an apocalyptic number.

It is an amenable number.

67120 is an abundant number, since it is smaller than the sum of its proper divisors (89120).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

67120 is a wasteful number, since it uses less digits than its factorization.

67120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 67120 is about 259.0752786354. The cubic root of 67120 is about 40.6397145908.

Adding to 67120 its reverse (2176), we get a palindrome (69296).

The spelling of 67120 in words is "sixty-seven thousand, one hundred twenty".