967120 has 80 divisors (see below), whose sum is σ = 2821248. Its totient is φ = 299520.

The previous prime is 967111. The next prime is 967129. The reversal of 967120 is 21769.

It is an interprime number because it is at equal distance from previous prime (967111) and next prime (967129).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967129) by changing a digit.

967120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6082 + ... + 6238.

2⁹⁶⁷¹²⁰ 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 967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410624).

967120 is an abundant number, since it is smaller than the sum of its proper divisors (1854128).

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

967120 is a wasteful number, since it uses less digits than its factorization.

967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 967120 is about 983.4225948187. The cubic root of 967120 is about 98.8917634891.

Adding to 967120 its reverse (21769), we get a palindrome (988889).

The spelling of 967120 in words is "nine hundred sixty-seven thousand, one hundred twenty".