966967296 has 120 divisors (see below), whose sum is σ = 2617165824. Its totient is φ = 317521920.

The previous prime is 966967291. The next prime is 966967319. The reversal of 966967296 is 692769669.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (966967291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5062561 + ... + 5062751.

Almost surely, 2^966967296 is an apocalyptic number.

966967296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308582912).

966967296 is an abundant number, since it is smaller than the sum of its proper divisors (1650198528).

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

966967296 is a wasteful number, since it uses less digits than its factorization.

966967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 60.

The square root of 966967296 is about 31096.0977616163. The cubic root of 966967296 is about 988.8655835680.

The spelling of 966967296 in words is "nine hundred sixty-six million, nine hundred sixty-seven thousand, two hundred ninety-six".