967605912 has 320 divisors, whose sum is σ = 3402907200. Its totient is φ = 250076160.

The previous prime is 967605911. The next prime is 967605917. The reversal of 967605912 is 219506769.

It is a happy number.

It is a super-2 number, since 2×967605912² = 1872522401874703488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967605911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3596914 + ... + 3597182.

It is an arithmetic number, because the mean of its divisors is an integer number (10634085).

Almost surely, 2^967605912 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 967605912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701453600).

967605912 is an abundant number, since it is smaller than the sum of its proper divisors (2435301288).

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

967605912 is a wasteful number, since it uses less digits than its factorization.

967605912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 967605912 is about 31106.3644934602. The cubic root of 967605912 is about 989.0832284373.

The spelling of 967605912 in words is "nine hundred sixty-seven million, six hundred five thousand, nine hundred twelve".