966421984 has 96 divisors (see below), whose sum is σ = 2273896800. Its totient is φ = 399114240.

The previous prime is 966421979. The next prime is 966421987. The reversal of 966421984 is 489124669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966421987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170752 + ... + 176320.

It is an arithmetic number, because the mean of its divisors is an integer number (23686425).

Almost surely, 2^966421984 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 966421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136948400).

966421984 is an abundant number, since it is smaller than the sum of its proper divisors (1307474816).

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

966421984 is a wasteful number, since it uses less digits than its factorization.

966421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5628 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 966421984 is about 31087.3283509535. The cubic root of 966421984 is about 988.6796615037.

The spelling of 966421984 in words is "nine hundred sixty-six million, four hundred twenty-one thousand, nine hundred eighty-four".