966207528 has 160 divisors (see below), whose sum is σ = 3179705760. Its totient is φ = 270241920.

The previous prime is 966207527. The next prime is 966207553. The reversal of 966207528 is 825702669.

It is not an unprimeable number, because it can be changed into a prime (966207523) 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, 87451 + ... + 97877.

It is an arithmetic number, because the mean of its divisors is an integer number (19873161).

Almost surely, 2^966207528 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 966207528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589852880).

966207528 is an abundant number, since it is smaller than the sum of its proper divisors (2213498232).

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

966207528 is a wasteful number, since it uses less digits than its factorization.

966207528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 966207528 is about 31083.8789085275. The cubic root of 966207528 is about 988.6065243806.

The spelling of 966207528 in words is "nine hundred sixty-six million, two hundred seven thousand, five hundred twenty-eight".