963966180 has 96 divisors (see below), whose sum is σ = 2788531200. Its totient is φ = 248624640.

The previous prime is 963966151. The next prime is 963966239. The reversal of 963966180 is 81669369.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400621 + ... + 403019.

It is an arithmetic number, because the mean of its divisors is an integer number (29047200).

Almost surely, 2^963966180 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 963966180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394265600).

963966180 is an abundant number, since it is smaller than the sum of its proper divisors (1824565020).

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

963966180 is a wasteful number, since it uses less digits than its factorization.

963966180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 963966180 is about 31047.8047533155. The cubic root of 963966180 is about 987.8414965888.

The spelling of 963966180 in words is "nine hundred sixty-three million, nine hundred sixty-six thousand, one hundred eighty".