966504960 has 400 divisors, whose sum is σ = 3564950400. Its totient is φ = 250159104.

The previous prime is 966504941. The next prime is 966504967. The reversal of 966504960 is 69405669.

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

It is not an unprimeable number, because it can be changed into a prime (966504967) 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 39 ways as a sum of consecutive naturals, for example, 12234201 + ... + 12234279.

It is an arithmetic number, because the mean of its divisors is an integer number (8912376).

Almost surely, 2^966504960 is an apocalyptic number.

966504960 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 966504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782475200).

966504960 is an abundant number, since it is smaller than the sum of its proper divisors (2598445440).

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

966504960 is an equidigital number, since it uses as much as digits as its factorization.

966504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 966504960 is about 31088.6628853671. The cubic root of 966504960 is about 988.7079563677.

It can be divided in two parts, 96 and 6504960, that added together give a palindrome (6505056).

The spelling of 966504960 in words is "nine hundred sixty-six million, five hundred four thousand, nine hundred sixty".