9779968 has 72 divisors (see below), whose sum is σ = 22369536. Its totient is φ = 4224000.

The previous prime is 9779941. The next prime is 9779969. The reversal of 9779968 is 8699779.

It is not an unprimeable number, because it can be changed into a prime (9779969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64693 + ... + 64843.

It is an arithmetic number, because the mean of its divisors is an integer number (310688).

Almost surely, 2^9779968 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 9779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768).

9779968 is an abundant number, since it is smaller than the sum of its proper divisors (12589568).

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

9779968 is a wasteful number, since it uses less digits than its factorization.

9779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 55.

The square root of 9779968 is about 3127.2940379824. The cubic root of 9779968 is about 213.8515872008.

It can be divided in two parts, 9 and 779968, that added together give a palindrome (779977).

The spelling of 9779968 in words is "nine million, seven hundred seventy-nine thousand, nine hundred sixty-eight".