966534660 has 576 divisors, whose sum is σ = 3984422400. Its totient is φ = 189775872.

The previous prime is 966534641. The next prime is 966534661. The reversal of 966534660 is 66435669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966534661) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10859896 + ... + 10859984.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^966534660 is an apocalyptic number.

966534660 is a gapful number since it is divisible by the number (90) 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 966534660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992211200).

966534660 is an abundant number, since it is smaller than the sum of its proper divisors (3017887740).

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

966534660 is a wasteful number, since it uses less digits than its factorization.

966534660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 966534660 is about 31089.1405477861. The cubic root of 966534660 is about 988.7180836913.

The spelling of 966534660 in words is "nine hundred sixty-six million, five hundred thirty-four thousand, six hundred sixty".