967947856 has 60 divisors (see below), whose sum is σ = 1999744032. Its totient is φ = 453771072.

The previous prime is 967947839. The next prime is 967947859. The reversal of 967947856 is 658749769.

967947856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 1031796176 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 967947794 and 967947803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967947859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594115 + ... + 595741.

Almost surely, 2^967947856 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 967947856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999872016).

967947856 is an abundant number, since it is smaller than the sum of its proper divisors (1031796176).

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

967947856 is a wasteful number, since it uses less digits than its factorization.

967947856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1751 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The square root of 967947856 is about 31111.8603751045. The cubic root of 967947856 is about 989.1997260179.

The spelling of 967947856 in words is "nine hundred sixty-seven million, nine hundred forty-seven thousand, eight hundred fifty-six".