966244720 has 160 divisors (see below), whose sum is σ = 2735539200. Its totient is φ = 316673280.

The previous prime is 966244703. The next prime is 966244723. The reversal of 966244720 is 27442669.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966244723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630355 + ... + 631885.

It is an arithmetic number, because the mean of its divisors is an integer number (17097120).

Almost surely, 2^966244720 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 966244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367769600).

966244720 is an abundant number, since it is smaller than the sum of its proper divisors (1769294480).

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

966244720 is a wasteful number, since it uses less digits than its factorization.

966244720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 966244720 is about 31084.4771550046. The cubic root of 966244720 is about 988.6192089509.

The spelling of 966244720 in words is "nine hundred sixty-six million, two hundred forty-four thousand, seven hundred twenty".