967065012 has 72 divisors (see below), whose sum is σ = 2508682176. Its totient is φ = 313939584.

The previous prime is 967064999. The next prime is 967065017. The reversal of 967065012 is 210560769.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967065017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706753 + ... + 708119.

It is an arithmetic number, because the mean of its divisors is an integer number (34842808).

Almost surely, 2^967065012 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 967065012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254341088).

967065012 is an abundant number, since it is smaller than the sum of its proper divisors (1541617164).

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

967065012 is a wasteful number, since it uses less digits than its factorization.

967065012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 967065012 is about 31097.6689158528. The cubic root of 967065012 is about 988.8988920832.

The spelling of 967065012 in words is "nine hundred sixty-seven million, sixty-five thousand, twelve".