966948304 has 80 divisors (see below), whose sum is σ = 2386454400. Its totient is φ = 369487872.

The previous prime is 966948289. The next prime is 966948317. The reversal of 966948304 is 403849669.

966948304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22812 + ... + 49540.

It is an arithmetic number, because the mean of its divisors is an integer number (29830680).

Almost surely, 2^966948304 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 966948304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193227200).

966948304 is an abundant number, since it is smaller than the sum of its proper divisors (1419506096).

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

966948304 is a wasteful number, since it uses less digits than its factorization.

966948304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780 (or 26774 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The square root of 966948304 is about 31095.7923841796. The cubic root of 966948304 is about 988.8591094924.

The spelling of 966948304 in words is "nine hundred sixty-six million, nine hundred forty-eight thousand, three hundred four".