966010320 has 320 divisors, whose sum is σ = 3672979200. Its totient is φ = 231413760.

The previous prime is 966010301. The next prime is 966010321. The reversal of 966010320 is 23010669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589654 + ... + 2590026.

It is an arithmetic number, because the mean of its divisors is an integer number (11478060).

Almost surely, 2^966010320 is an apocalyptic number.

966010320 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 966010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836489600).

966010320 is an abundant number, since it is smaller than the sum of its proper divisors (2706968880).

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

966010320 is a wasteful number, since it uses less digits than its factorization.

966010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 966010320 is about 31080.7065556753. The cubic root of 966010320 is about 988.5392598866.

Adding to 966010320 its reverse (23010669), we get a palindrome (989020989).

The spelling of 966010320 in words is "nine hundred sixty-six million, ten thousand, three hundred twenty".