966168840 has 256 divisors, whose sum is σ = 3606220800. Its totient is φ = 201636864.

The previous prime is 966168793. The next prime is 966168851. The reversal of 966168840 is 48861669.

It is a self number, because there is not a number n which added to its sum of digits gives 966168840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124331 + ... + 1125189.

It is an arithmetic number, because the mean of its divisors is an integer number (14086800).

Almost surely, 2^966168840 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 966168840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803110400).

966168840 is an abundant number, since it is smaller than the sum of its proper divisors (2640051960).

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

966168840 is a wasteful number, since it uses less digits than its factorization.

966168840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 966168840 is about 31083.2565861430. The cubic root of 966168840 is about 988.5933292444.

The spelling of 966168840 in words is "nine hundred sixty-six million, one hundred sixty-eight thousand, eight hundred forty".