966010752 has 256 divisors, whose sum is σ = 3309043200. Its totient is φ = 271724544.

The previous prime is 966010751. The next prime is 966010789. The reversal of 966010752 is 257010669.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966010751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765743 + ... + 1766289.

It is an arithmetic number, because the mean of its divisors is an integer number (12925950).

Almost surely, 2^966010752 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 966010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654521600).

966010752 is an abundant number, since it is smaller than the sum of its proper divisors (2343032448).

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

966010752 is a wasteful number, since it uses less digits than its factorization.

966010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 966010752 is about 31080.7135053235. The cubic root of 966010752 is about 988.5394072449.

The spelling of 966010752 in words is "nine hundred sixty-six million, ten thousand, seven hundred fifty-two".