966076160 has 216 divisors, whose sum is σ = 2741666256. Its totient is φ = 325140480.

The previous prime is 966076121. The next prime is 966076169. The reversal of 966076160 is 61670669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966076169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4578455 + ... + 4578665.

Almost surely, 2^966076160 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 966076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370833128).

966076160 is an abundant number, since it is smaller than the sum of its proper divisors (1775590096).

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

966076160 is a wasteful number, since it uses less digits than its factorization.

966076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 966076160 is about 31081.7657156089. The cubic root of 966076160 is about 988.5617178752.

The spelling of 966076160 in words is "nine hundred sixty-six million, seventy-six thousand, one hundred sixty".