966711564 has 384 divisors, whose sum is σ = 3371827200. Its totient is φ = 232346880.

The previous prime is 966711563. The next prime is 966711589. The reversal of 966711564 is 465117669.

It is not an unprimeable number, because it can be changed into a prime (966711563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5788609 + ... + 5788775.

It is an arithmetic number, because the mean of its divisors is an integer number (8780800).

Almost surely, 2^966711564 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 966711564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685913600).

966711564 is an abundant number, since it is smaller than the sum of its proper divisors (2405115636).

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

966711564 is a wasteful number, since it uses less digits than its factorization.

966711564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 966711564 is about 31091.9855268203. The cubic root of 966711564 is about 988.7784014158.

The spelling of 966711564 in words is "nine hundred sixty-six million, seven hundred eleven thousand, five hundred sixty-four".