966078720 has 216 divisors, whose sum is σ = 3539868696. Its totient is φ = 242417664.

The previous prime is 966078709. The next prime is 966078767. The reversal of 966078720 is 27870669.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128323584 + 837755136 = 11328^2 + 28944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193374 + ... + 198306.

It is an arithmetic number, because the mean of its divisors is an integer number (16388281).

Almost surely, 2^966078720 is an apocalyptic number.

966078720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769934348).

966078720 is an abundant number, since it is smaller than the sum of its proper divisors (2573789976).

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

966078720 is a wasteful number, since it uses less digits than its factorization.

966078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 966078720 is about 31081.8068972832. The cubic root of 966078720 is about 988.5625910693.

The spelling of 966078720 in words is "nine hundred sixty-six million, seventy-eight thousand, seven hundred twenty".