966961216 has 105 divisors (see below), whose sum is σ = 2173017371. Its totient is φ = 426885888.

The previous prime is 966961211. The next prime is 966961217. The reversal of 966961216 is 612169669.

The square root of 966961216 is 31096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 479434816 + 487526400 = 21896^2 + 22080^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966961211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42041781 + ... + 42041803.

Almost surely, 2^966961216 is an apocalyptic number.

966961216 is the 31096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966961216

966961216 is an abundant number, since it is smaller than the sum of its proper divisors (1206056155).

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

966961216 is an frugal number, since it uses more digits than its factorization.

966961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 38 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The cubic root of 966961216 is about 988.8635110004.

The spelling of 966961216 in words is "nine hundred sixty-six million, nine hundred sixty-one thousand, two hundred sixteen".