966645792 has 192 divisors, whose sum is σ = 3239389440. Its totient is φ = 274710528.

The previous prime is 966645787. The next prime is 966645803. The reversal of 966645792 is 297546669.

It is a super-3 number, since 3×966645792³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675008 + ... + 1675584.

It is an arithmetic number, because the mean of its divisors is an integer number (16871820).

Almost surely, 2^966645792 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 966645792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619694720).

966645792 is an abundant number, since it is smaller than the sum of its proper divisors (2272743648).

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

966645792 is a wasteful number, since it uses less digits than its factorization.

966645792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 966645792 is about 31090.9278086068. The cubic root of 966645792 is about 988.7559764546.

The spelling of 966645792 in words is "nine hundred sixty-six million, six hundred forty-five thousand, seven hundred ninety-two".