966038180 has 96 divisors (see below), whose sum is σ = 2192520960. Its totient is φ = 356590080.

The previous prime is 966038179. The next prime is 966038189. The reversal of 966038180 is 81830669.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (966038189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3591086 + ... + 3591354.

It is an arithmetic number, because the mean of its divisors is an integer number (22838760).

Almost surely, 2^966038180 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 966038180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096260480).

966038180 is an abundant number, since it is smaller than the sum of its proper divisors (1226482780).

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

966038180 is a wasteful number, since it uses less digits than its factorization.

966038180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 966038180 is about 31081.1547404533. The cubic root of 966038180 is about 988.5487630422.

The spelling of 966038180 in words is "nine hundred sixty-six million, thirty-eight thousand, one hundred eighty".