966163968 has 360 divisors, whose sum is σ = 3547641240. Its totient is φ = 250306560.

The previous prime is 966163963. The next prime is 966163973. The reversal of 966163968 is 869361669.

It is an interprime number because it is at equal distance from previous prime (966163963) and next prime (966163973).

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 (966163963) 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, 2483518 + ... + 2483906.

It is an arithmetic number, because the mean of its divisors is an integer number (9854559).

Almost surely, 2^966163968 is an apocalyptic number.

966163968 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 966163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773820620).

966163968 is an abundant number, since it is smaller than the sum of its proper divisors (2581477272).

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

966163968 is a wasteful number, since it uses less digits than its factorization.

966163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 966163968 is about 31083.1782158775. The cubic root of 966163968 is about 988.5916675490.

The spelling of 966163968 in words is "nine hundred sixty-six million, one hundred sixty-three thousand, nine hundred sixty-eight".