966949440 has 112 divisors (see below), whose sum is σ = 3203618688. Its totient is φ = 246636544.

The previous prime is 966949439. The next prime is 966949441. The reversal of 966949440 is 44949669.

It is an interprime number because it is at equal distance from previous prime (966949439) and next prime (966949441).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (966949441) 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 15 ways as a sum of consecutive naturals, for example, 184 + ... + 43976.

Almost surely, 2^966949440 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 966949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601809344).

966949440 is an abundant number, since it is smaller than the sum of its proper divisors (2236669248).

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

966949440 is a wasteful number, since it uses less digits than its factorization.

966949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43836 (or 43826 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 966949440 is about 31095.8106503111. The cubic root of 966949440 is about 988.8594967394.

The spelling of 966949440 in words is "nine hundred sixty-six million, nine hundred forty-nine thousand, four hundred forty".