966766752 has 144 divisors (see below), whose sum is σ = 3258545472. Its totient is φ = 276203520.

The previous prime is 966766741. The next prime is 966766777. The reversal of 966766752 is 257667669.

966766752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45552 + ... + 63312.

It is an arithmetic number, because the mean of its divisors is an integer number (22628788).

Almost surely, 2^966766752 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 966766752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629272736).

966766752 is an abundant number, since it is smaller than the sum of its proper divisors (2291778720).

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

966766752 is a wasteful number, since it uses less digits than its factorization.

966766752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793 (or 17773 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 966766752 is about 31092.8730097429. The cubic root of 966766752 is about 988.7972169777.

The spelling of 966766752 in words is "nine hundred sixty-six million, seven hundred sixty-six thousand, seven hundred fifty-two".