966936816 has 60 divisors (see below), whose sum is σ = 2709078840. Its totient is φ = 321955200.

The previous prime is 966936811. The next prime is 966936827. The reversal of 966936816 is 618639669.

It is a super-2 number, since 2×966936816² = 1869933612272435712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966936811) 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 11 ways as a sum of consecutive naturals, for example, 148150 + ... + 154538.

It is an arithmetic number, because the mean of its divisors is an integer number (45151314).

Almost surely, 2^966936816 is an apocalyptic number.

It is an amenable number.

966936816 is an abundant number, since it is smaller than the sum of its proper divisors (1742142024).

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

966936816 is a wasteful number, since it uses less digits than its factorization.

966936816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7454 (or 7445 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 966936816 is about 31095.6076641059. The cubic root of 966936816 is about 988.8551933718.

The spelling of 966936816 in words is "nine hundred sixty-six million, nine hundred thirty-six thousand, eight hundred sixteen".