967980384 has 288 divisors, whose sum is σ = 3405991680. Its totient is φ = 254555136.

The previous prime is 967980361. The next prime is 967980397. The reversal of 967980384 is 483089769.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 967980384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416907 + ... + 1417589.

It is an arithmetic number, because the mean of its divisors is an integer number (11826360).

Almost surely, 2^967980384 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 967980384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702995840).

967980384 is an abundant number, since it is smaller than the sum of its proper divisors (2438011296).

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

967980384 is a wasteful number, since it uses less digits than its factorization.

967980384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 967980384 is about 31112.3831295515. The cubic root of 967980384 is about 989.2108066176.

The spelling of 967980384 in words is "nine hundred sixty-seven million, nine hundred eighty thousand, three hundred eighty-four".