1966184064 has 256 divisors, whose sum is σ = 6323184000. Its totient is φ = 597860352.

The previous prime is 1966184063. The next prime is 1966184071. The reversal of 1966184064 is 4604816691.

It is not an unprimeable number, because it can be changed into a prime (1966184063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4807092 + ... + 4807500.

Almost surely, 2^1966184064 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 1966184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161592000).

1966184064 is an abundant number, since it is smaller than the sum of its proper divisors (4356999936).

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

1966184064 is a wasteful number, since it uses less digits than its factorization.

1966184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1966184064 is about 44341.6741226580. The cubic root of 1966184064 is about 1252.7797474743.

The spelling of 1966184064 in words is "one billion, nine hundred sixty-six million, one hundred eighty-four thousand, sixty-four".