966723920 has 40 divisors (see below), whose sum is σ = 2262745800. Its totient is φ = 384089600.

The previous prime is 966723917. The next prime is 966723941. The reversal of 966723920 is 29327669.

It can be written as a sum of positive squares in 4 ways, for example, as 51782416 + 914941504 = 7196^2 + 30248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 28631 + ... + 52470.

It is an arithmetic number, because the mean of its divisors is an integer number (56568645).

Almost surely, 2^966723920 is an apocalyptic number.

It is an amenable number.

966723920 is an abundant number, since it is smaller than the sum of its proper divisors (1296021880).

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

966723920 is a wasteful number, since it uses less digits than its factorization.

966723920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81263 (or 81257 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 966723920 is about 31092.1842269082. The cubic root of 966723920 is about 988.7826140801.

The spelling of 966723920 in words is "nine hundred sixty-six million, seven hundred twenty-three thousand, nine hundred twenty".