966797856 has 144 divisors (see below), whose sum is σ = 2881726848. Its totient is φ = 318816000.

The previous prime is 966797809. The next prime is 966797863. The reversal of 966797856 is 658797669.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 966797793 and 966797802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784761 + ... + 785991.

It is an arithmetic number, because the mean of its divisors is an integer number (20011992).

Almost surely, 2^966797856 is an apocalyptic number.

966797856 is a gapful number since it is divisible by the number (96) 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 966797856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440863424).

966797856 is an abundant number, since it is smaller than the sum of its proper divisors (1914928992).

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

966797856 is a wasteful number, since it uses less digits than its factorization.

966797856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The square root of 966797856 is about 31093.3731846514. The cubic root of 966797856 is about 988.8078211277.

The spelling of 966797856 in words is "nine hundred sixty-six million, seven hundred ninety-seven thousand, eight hundred fifty-six".