966261996 has 72 divisors (see below), whose sum is σ = 2798883360. Its totient is φ = 275337216.

The previous prime is 966261979. The next prime is 966262019. The reversal of 966261996 is 699162669.

It is a happy number.

966261996 is a `hidden beast` number, since 9 + 6 + 626 + 1 + 9 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93100 + ... + 102956.

It is an arithmetic number, because the mean of its divisors is an integer number (38873380).

Almost surely, 2^966261996 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 966261996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399441680).

966261996 is an abundant number, since it is smaller than the sum of its proper divisors (1832621364).

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

966261996 is a wasteful number, since it uses less digits than its factorization.

966261996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263 (or 10258 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 966261996 is about 31084.7550416599. The cubic root of 966261996 is about 988.6251009309.

The spelling of 966261996 in words is "nine hundred sixty-six million, two hundred sixty-one thousand, nine hundred ninety-six".