966109968 has 60 divisors (see below), whose sum is σ = 2707362060. Its totient is φ = 321608448.

The previous prime is 966109951. The next prime is 966109987. The reversal of 966109968 is 869901669.

It can be written as a sum of positive squares in 2 ways, for example, as 489648384 + 476461584 = 22128^2 + 21828^2 .

It is a super-2 number, since 2×966109968² = 1866736940537922048, which contains 22 as substring.

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, 115330 + ... + 123422.

It is an arithmetic number, because the mean of its divisors is an integer number (45122701).

Almost surely, 2^966109968 is an apocalyptic number.

It is an amenable number.

966109968 is an abundant number, since it is smaller than the sum of its proper divisors (1741252092).

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

966109968 is a wasteful number, since it uses less digits than its factorization.

966109968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 966109968 is about 31082.3095666973. The cubic root of 966109968 is about 988.5732493694.

The spelling of 966109968 in words is "nine hundred sixty-six million, one hundred nine thousand, nine hundred sixty-eight".