967328964 has 72 divisors (see below), whose sum is σ = 2803190208. Its totient is φ = 275520960.

The previous prime is 967328927. The next prime is 967328993. The reversal of 967328964 is 469823769.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 967328964.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77614 + ... + 89210.

Almost surely, 2^967328964 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 967328964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401595104).

967328964 is an abundant number, since it is smaller than the sum of its proper divisors (1835861244).

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

967328964 is a wasteful number, since it uses less digits than its factorization.

967328964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11940 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 967328964 is about 31101.9125456940. The cubic root of 967328964 is about 988.9888543549.

The spelling of 967328964 in words is "nine hundred sixty-seven million, three hundred twenty-eight thousand, nine hundred sixty-four".