9672660 has 144 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 2322432.

The previous prime is 9672629. The next prime is 9672661. The reversal of 9672660 is 662769.

9672660 = T₃₄₉ + T₃₅₀ + ... + T₄₆₄.

It can be written as a sum of positive squares in 8 ways, for example, as 345744 + 9326916 = 588^2 + 3054^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9672661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88686 + ... + 88794.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^9672660 is an apocalyptic number.

9672660 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 9672660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

9672660 is an abundant number, since it is smaller than the sum of its proper divisors (22759740).

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

9672660 is a wasteful number, since it uses less digits than its factorization.

9672660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9672660 is about 3110.0900308512. The cubic root of 9672660 is about 213.0665665119.

The spelling of 9672660 in words is "nine million, six hundred seventy-two thousand, six hundred sixty".