1966568832 has 96 divisors (see below), whose sum is σ = 5709464280. Its totient is φ = 649678848.

The previous prime is 1966568797. The next prime is 1966568861. The reversal of 1966568832 is 2388656691.

It is a happy number.

1966568832 is a `hidden beast` number, since 19 + 66 + 568 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122623 + ... + 137729.

Almost surely, 2^1966568832 is an apocalyptic number.

1966568832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854732140).

1966568832 is an abundant number, since it is smaller than the sum of its proper divisors (3742895448).

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

1966568832 is a wasteful number, since it uses less digits than its factorization.

1966568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15225 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1966568832 is about 44346.0125828693. The cubic root of 1966568832 is about 1252.8614621226.

The spelling of 1966568832 in words is "one billion, nine hundred sixty-six million, five hundred sixty-eight thousand, eight hundred thirty-two".