966533120 has 112 divisors (see below), whose sum is σ = 2651686848. Its totient is φ = 331284480.

The previous prime is 966533101. The next prime is 966533149. The reversal of 966533120 is 21335669.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285035 + ... + 288405.

Almost surely, 2^966533120 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 966533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325843424).

966533120 is an abundant number, since it is smaller than the sum of its proper divisors (1685153728).

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

966533120 is an equidigital number, since it uses as much as digits as its factorization.

966533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 966533120 is about 31089.1157802855. The cubic root of 966533120 is about 988.7175585759.

Adding to 966533120 its reverse (21335669), we get a palindrome (987868789).

The spelling of 966533120 in words is "nine hundred sixty-six million, five hundred thirty-three thousand, one hundred twenty".