9668880 has 120 divisors (see below), whose sum is σ = 35002968. Its totient is φ = 2377728.

The previous prime is 9668873. The next prime is 9668881. The reversal of 9668880 is 888669.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 8020224 = 1284^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9668881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8844 + ... + 9876.

Almost surely, 2^9668880 is an apocalyptic number.

9668880 is a gapful number since it is divisible by the number (90) 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 9668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501484).

9668880 is an abundant number, since it is smaller than the sum of its proper divisors (25334088).

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

9668880 is a wasteful number, since it uses less digits than its factorization.

9668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9668880 is about 3109.4822720189. The cubic root of 9668880 is about 213.0388079788.

The spelling of 9668880 in words is "nine million, six hundred sixty-eight thousand, eight hundred eighty".