966720 has 112 divisors (see below), whose sum is σ = 3291840. Its totient is φ = 239616.

The previous prime is 966677. The next prime is 966727. The reversal of 966720 is 27669.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966720.

It is not an unprimeable number, because it can be changed into a prime (966727) by changing a digit.

966720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18214 + ... + 18266.

2⁹⁶⁶⁷²⁰ 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 966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920).

966720 is an abundant number, since it is smaller than the sum of its proper divisors (2325120).

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

966720 is a wasteful number, since it uses less digits than its factorization.

966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 966720 is about 983.2192024162. The cubic root of 966720 is about 98.8781277596.

The spelling of 966720 in words is "nine hundred sixty-six thousand, seven hundred twenty".