967609944 has 192 divisors, whose sum is σ = 3274352640. Its totient is φ = 251735040.

The previous prime is 967609889. The next prime is 967609949. The reversal of 967609944 is 449906769.

967609944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967609949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263787 + ... + 267429.

It is an arithmetic number, because the mean of its divisors is an integer number (17053920).

Almost surely, 2^967609944 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 967609944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637176320).

967609944 is an abundant number, since it is smaller than the sum of its proper divisors (2306742696).

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

967609944 is a wasteful number, since it uses less digits than its factorization.

967609944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 967609944 is about 31106.4293032807. The cubic root of 967609944 is about 989.0846022673.

The spelling of 967609944 in words is "nine hundred sixty-seven million, six hundred nine thousand, nine hundred forty-four".