967760 has 20 divisors (see below), whose sum is σ = 2250228. Its totient is φ = 387072.

The previous prime is 967753. The next prime is 967763. The reversal of 967760 is 67769.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 817216 = 388^2 + 904^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 967760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967763) by changing a digit.

967760 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 3 ways as a sum of consecutive naturals, for example, 5969 + ... + 6128.

2⁹⁶⁷⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

967760 is an abundant number, since it is smaller than the sum of its proper divisors (1282468).

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

967760 is a wasteful number, since it uses less digits than its factorization.

967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12110 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 967760 is about 983.7479351948. The cubic root of 967760 is about 98.9135728381.

The spelling of 967760 in words is "nine hundred sixty-seven thousand, seven hundred sixty".