966124908 has 240 divisors, whose sum is σ = 3074406720. Its totient is φ = 258660864.

The previous prime is 966124883. The next prime is 966124919. The reversal of 966124908 is 809421669.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2433366 + ... + 2433762.

It is an arithmetic number, because the mean of its divisors is an integer number (12810028).

Almost surely, 2^966124908 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 966124908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537203360).

966124908 is an abundant number, since it is smaller than the sum of its proper divisors (2108281812).

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

966124908 is a wasteful number, since it uses less digits than its factorization.

966124908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 966124908 is about 31082.5498953995. The cubic root of 966124908 is about 988.5783451344.

The spelling of 966124908 in words is "nine hundred sixty-six million, one hundred twenty-four thousand, nine hundred eight".