966271120 has 80 divisors (see below), whose sum is σ = 2324136960. Its totient is φ = 373381632.

The previous prime is 966271099. The next prime is 966271129. The reversal of 966271120 is 21172669.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (966271129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295414 + ... + 298666.

It is an arithmetic number, because the mean of its divisors is an integer number (29051712).

Almost surely, 2^966271120 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 966271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162068480).

966271120 is an abundant number, since it is smaller than the sum of its proper divisors (1357865840).

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

966271120 is a wasteful number, since it uses less digits than its factorization.

966271120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 966271120 is about 31084.9018013569. The cubic root of 966271120 is about 988.6282126429.

The spelling of 966271120 in words is "nine hundred sixty-six million, two hundred seventy-one thousand, one hundred twenty".