961984000 has 80 divisors (see below), whose sum is σ = 2398926816. Its totient is φ = 384768000.

The previous prime is 961983991. The next prime is 961984043. The reversal of 961984000 is 489169.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56485 + ... + 71515.

Almost surely, 2^961984000 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 961984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199463408).

961984000 is an abundant number, since it is smaller than the sum of its proper divisors (1436942816).

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

961984000 is an equidigital number, since it uses as much as digits as its factorization.

961984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 961984000 is about 31015.8669071171. The cubic root of 961984000 is about 987.1639405532.

The spelling of 961984000 in words is "nine hundred sixty-one million, nine hundred eighty-four thousand".