966268485 has 108 divisors (see below), whose sum is σ = 2110525092. Its totient is φ = 407586816.

The previous prime is 966268483. The next prime is 966268489. The reversal of 966268485 is 584862669.

It is a happy number.

966268485 is a `hidden beast` number, since 9 + 6 + 626 + 8 + 4 + 8 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 152992161 + 813276324 = 12369^2 + 28518^2 .

It is not a de Polignac number, because 966268485 - 2¹ = 966268483 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966268483) 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 107 ways as a sum of consecutive naturals, for example, 371349 + ... + 373941.

It is an arithmetic number, because the mean of its divisors is an integer number (19541899).

Almost surely, 2^966268485 is an apocalyptic number.

It is an amenable number.

966268485 is an abundant number, since it is smaller than the sum of its proper divisors (1144256607).

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

966268485 is a wasteful number, since it uses less digits than its factorization.

966268485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2621 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 966268485 is about 31084.8594174077. The cubic root of 966268485 is about 988.6273139863.

It can be divided in two parts, 96626 and 8485, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 966268485 in words is "nine hundred sixty-six million, two hundred sixty-eight thousand, four hundred eighty-five".