966843648 has 144 divisors (see below), whose sum is σ = 2926517440. Its totient is φ = 314689536.

The previous prime is 966843641. The next prime is 966843653. The reversal of 966843648 is 846348669.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 966843594 and 966843603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966843641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295590 + ... + 298842.

Almost surely, 2^966843648 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 966843648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463258720).

966843648 is an abundant number, since it is smaller than the sum of its proper divisors (1959673792).

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

966843648 is a wasteful number, since it uses less digits than its factorization.

966843648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3301 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 966843648 is about 31094.1095386248. The cubic root of 966843648 is about 988.8234323790.

The spelling of 966843648 in words is "nine hundred sixty-six million, eight hundred forty-three thousand, six hundred forty-eight".