966866208 has 192 divisors, whose sum is σ = 3190440960. Its totient is φ = 249062400.

The previous prime is 966866207. The next prime is 966866209. The reversal of 966866208 is 802668669.

It is an interprime number because it is at equal distance from previous prime (966866207) and next prime (966866209).

It is not an unprimeable number, because it can be changed into a prime (966866207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027018 + ... + 1027958.

It is an arithmetic number, because the mean of its divisors is an integer number (16616880).

Almost surely, 2^966866208 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 966866208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595220480).

966866208 is an abundant number, since it is smaller than the sum of its proper divisors (2223574752).

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

966866208 is a wasteful number, since it uses less digits than its factorization.

966866208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 966866208 is about 31094.4723061833. The cubic root of 966866208 is about 988.8311232754.

The spelling of 966866208 in words is "nine hundred sixty-six million, eight hundred sixty-six thousand, two hundred eight".