1966438176 has 48 divisors (see below), whose sum is σ = 5386336704. Its totient is φ = 626979584.

The previous prime is 1966438169. The next prime is 1966438181. The reversal of 1966438176 is 6718346691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443091 + ... + 447506.

It is an arithmetic number, because the mean of its divisors is an integer number (112215348).

Almost surely, 2^1966438176 is an apocalyptic number.

1966438176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1966438176 is an abundant number, since it is smaller than the sum of its proper divisors (3419898528).

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

1966438176 is a wasteful number, since it uses less digits than its factorization.

1966438176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890633 (or 890625 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 1966438176 is about 44344.5394158063. The cubic root of 1966438176 is about 1252.8337154046.

The spelling of 1966438176 in words is "one billion, nine hundred sixty-six million, four hundred thirty-eight thousand, one hundred seventy-six".