966554688 has 224 divisors, whose sum is σ = 2961192960. Its totient is φ = 275466240.

The previous prime is 966554683. The next prime is 966554689. The reversal of 966554688 is 886455669.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (966554683) 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 31 ways as a sum of consecutive naturals, for example, 2633481 + ... + 2633847.

Almost surely, 2^966554688 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 966554688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480596480).

966554688 is an abundant number, since it is smaller than the sum of its proper divisors (1994638272).

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

966554688 is a wasteful number, since it uses less digits than its factorization.

966554688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The square root of 966554688 is about 31089.4626521592. The cubic root of 966554688 is about 988.7249128684.

The spelling of 966554688 in words is "nine hundred sixty-six million, five hundred fifty-four thousand, six hundred eighty-eight".