966246120 has 384 divisors, whose sum is σ = 3787280640. Its totient is φ = 209018880.

The previous prime is 966246109. The next prime is 966246133. The reversal of 966246120 is 21642669.

966246120 is a `hidden beast` number, since 9 + 6 + 624 + 6 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4009200 + ... + 4009440.

It is an arithmetic number, because the mean of its divisors is an integer number (9862710).

Almost surely, 2^966246120 is an apocalyptic number.

966246120 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 966246120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893640320).

966246120 is an abundant number, since it is smaller than the sum of its proper divisors (2821034520).

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

966246120 is a wasteful number, since it uses less digits than its factorization.

966246120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 966246120 is about 31084.4996742750. The cubic root of 966246120 is about 988.6196864235.

Adding to 966246120 its reverse (21642669), we get a palindrome (987888789).

The spelling of 966246120 in words is "nine hundred sixty-six million, two hundred forty-six thousand, one hundred twenty".