966809760 has 192 divisors, whose sum is σ = 3503388672. Its totient is φ = 219534336.

The previous prime is 966809747. The next prime is 966809783. The reversal of 966809760 is 67908669.

It is a happy number.

It is a super-2 number, since 2×966809760² = 1869442224062515200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560259 + ... + 561981.

It is an arithmetic number, because the mean of its divisors is an integer number (18246816).

Almost surely, 2^966809760 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 966809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751694336).

966809760 is an abundant number, since it is smaller than the sum of its proper divisors (2536578912).

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

966809760 is a wasteful number, since it uses less digits than its factorization.

966809760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 966809760 is about 31093.5646074875. The cubic root of 966809760 is about 988.8118794459.

The spelling of 966809760 in words is "nine hundred sixty-six million, eight hundred nine thousand, seven hundred sixty".