967821984 has 144 divisors (see below), whose sum is σ = 2908249344. Its totient is φ = 304819200.

The previous prime is 967821931. The next prime is 967822001. The reversal of 967821984 is 489128769.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 967821984.

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, 382644 + ... + 385164.

It is an arithmetic number, because the mean of its divisors is an integer number (20196176).

Almost surely, 2^967821984 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 967821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454124672).

967821984 is an abundant number, since it is smaller than the sum of its proper divisors (1940427360).

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

967821984 is a wasteful number, since it uses less digits than its factorization.

967821984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2600 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 967821984 is about 31109.8374151971. The cubic root of 967821984 is about 989.1568456276.

The spelling of 967821984 in words is "nine hundred sixty-seven million, eight hundred twenty-one thousand, nine hundred eighty-four".