966392856 has 160 divisors (see below), whose sum is σ = 3180315600. Its totient is φ = 270293760.

The previous prime is 966392851. The next prime is 966392887. The reversal of 966392856 is 658293669.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966392851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87450 + ... + 97878.

Almost surely, 2^966392856 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 966392856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590157800).

966392856 is an abundant number, since it is smaller than the sum of its proper divisors (2213922744).

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

966392856 is a wasteful number, since it uses less digits than its factorization.

966392856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10458 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 966392856 is about 31086.8598607193. The cubic root of 966392856 is about 988.6697284548.

The spelling of 966392856 in words is "nine hundred sixty-six million, three hundred ninety-two thousand, eight hundred fifty-six".