966216888 has 144 divisors (see below), whose sum is σ = 3278391480. Its totient is φ = 254814336.

The previous prime is 966216883. The next prime is 966216907. The reversal of 966216888 is 888612669.

It is a happy number.

966216888 is a `hidden beast` number, since 9 + 6 + 621 + 6 + 8 + 8 + 8 = 666.

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 (966216883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35331 + ... + 56397.

Almost surely, 2^966216888 is an apocalyptic number.

966216888 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966216888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639195740).

966216888 is an abundant number, since it is smaller than the sum of its proper divisors (2312174592).

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

966216888 is a wasteful number, since it uses less digits than its factorization.

966216888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21106 (or 21092 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 966216888 is about 31084.0294685229. The cubic root of 966216888 is about 988.6097166993.

The spelling of 966216888 in words is "nine hundred sixty-six million, two hundred sixteen thousand, eight hundred eighty-eight".