966333888 has 210 divisors, whose sum is σ = 3104625744. Its totient is φ = 297063936.

The previous prime is 966333887. The next prime is 966333889. The reversal of 966333888 is 888333669.

It is an interprime number because it is at equal distance from previous prime (966333887) and next prime (966333889).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966333887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 875545 + ... + 876647.

Almost surely, 2^966333888 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 966333888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552312872).

966333888 is an abundant number, since it is smaller than the sum of its proper divisors (2138291856).

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

966333888 is a wasteful number, since it uses less digits than its factorization.

966333888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1121 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 966333888 is about 31085.9114069380. The cubic root of 966333888 is about 988.6496189441.

The spelling of 966333888 in words is "nine hundred sixty-six million, three hundred thirty-three thousand, eight hundred eighty-eight".