966992796 has 288 divisors, whose sum is σ = 3256404480. Its totient is φ = 243064800.

The previous prime is 966992771. The next prime is 966992809. The reversal of 966992796 is 697299669.

966992796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (19840464) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31193301 + ... + 31193331.

It is an arithmetic number, because the mean of its divisors is an integer number (11306960).

Almost surely, 2^966992796 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 966992796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628202240).

966992796 is an abundant number, since it is smaller than the sum of its proper divisors (2289411684).

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

966992796 is a wasteful number, since it uses less digits than its factorization.

966992796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 966992796 is about 31096.5077782056. The cubic root of 966992796 is about 988.8742759856.

The spelling of 966992796 in words is "nine hundred sixty-six million, nine hundred ninety-two thousand, seven hundred ninety-six".