966819840 has 256 divisors, whose sum is σ = 3548327040. Its totient is φ = 220200960.

The previous prime is 966819829. The next prime is 966819857. The reversal of 966819840 is 48918669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440500 + ... + 3440780.

Almost surely, 2^966819840 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 966819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774163520).

966819840 is an abundant number, since it is smaller than the sum of its proper divisors (2581507200).

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

966819840 is an equidigital number, since it uses as much as digits as its factorization.

966819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 966819840 is about 31093.7266984837. The cubic root of 966819840 is about 988.8153158990.

The spelling of 966819840 in words is "nine hundred sixty-six million, eight hundred nineteen thousand, eight hundred forty".