966784 has 64 divisors (see below), whose sum is σ = 2399040. Its totient is φ = 377856.

The previous prime is 966781. The next prime is 966803. The reversal of 966784 is 487669.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11607 + ... + 11689.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2⁹⁶⁶⁷⁸⁴ 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 966784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199520).

966784 is an abundant number, since it is smaller than the sum of its proper divisors (1432256).

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

966784 is a wasteful number, since it uses less digits than its factorization.

966784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 966784 is about 983.2517480279. The cubic root of 966784 is about 98.8803097291.

The spelling of 966784 in words is "nine hundred sixty-six thousand, seven hundred eighty-four".