966673344 has 224 divisors, whose sum is σ = 3203017216. Its totient is φ = 250490880.

The previous prime is 966673273. The next prime is 966673369. The reversal of 966673344 is 443376669.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 966673293 and 966673302.

It is a congruent number.

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, 1065339 + ... + 1066245.

It is an arithmetic number, because the mean of its divisors is an integer number (14299184).

Almost surely, 2^966673344 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 966673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601508608).

966673344 is an abundant number, since it is smaller than the sum of its proper divisors (2236343872).

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

966673344 is a wasteful number, since it uses less digits than its factorization.

966673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The square root of 966673344 is about 31091.3708929021. The cubic root of 966673344 is about 988.7653704318.

The spelling of 966673344 in words is "nine hundred sixty-six million, six hundred seventy-three thousand, three hundred forty-four".