966760704 has 576 divisors, whose sum is σ = 3708633600. Its totient is φ = 241532928.

The previous prime is 966760693. The next prime is 966760727. The reversal of 966760704 is 407067669.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 966760704.

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, 18240742 + ... + 18240794.

It is an arithmetic number, because the mean of its divisors is an integer number (6438600).

Almost surely, 2^966760704 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 966760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854316800).

966760704 is an abundant number, since it is smaller than the sum of its proper divisors (2741872896).

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

966760704 is a wasteful number, since it uses less digits than its factorization.

966760704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 966760704 is about 31092.7757525764. The cubic root of 966760704 is about 988.7951550333.

The spelling of 966760704 in words is "nine hundred sixty-six million, seven hundred sixty thousand, seven hundred four".