966534976 has 56 divisors (see below), whose sum is σ = 2095987680. Its totient is φ = 438566400.

The previous prime is 966534941. The next prime is 966535013. The reversal of 966534976 is 679435669.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 661735 + ... + 663193.

Almost surely, 2^966534976 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 966534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047993840).

966534976 is an abundant number, since it is smaller than the sum of its proper divisors (1129452704).

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

966534976 is a wasteful number, since it uses less digits than its factorization.

966534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2413 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The square root of 966534976 is about 31089.1456299462. The cubic root of 966534976 is about 988.7181914422.

The spelling of 966534976 in words is "nine hundred sixty-six million, five hundred thirty-four thousand, nine hundred seventy-six".