966673008 has 320 divisors, whose sum is σ = 3347404800. Its totient is φ = 261273600.

The previous prime is 966672977. The next prime is 966673033. The reversal of 966673008 is 800376669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6401733 + ... + 6401883.

It is an arithmetic number, because the mean of its divisors is an integer number (10460640).

Almost surely, 2^966673008 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 966673008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673702400).

966673008 is an abundant number, since it is smaller than the sum of its proper divisors (2380731792).

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

966673008 is a wasteful number, since it uses less digits than its factorization.

966673008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 966673008 is about 31091.3654894731. The cubic root of 966673008 is about 988.7652558722.

The spelling of 966673008 in words is "nine hundred sixty-six million, six hundred seventy-three thousand, eight".