9666540 has 192 divisors, whose sum is σ = 34715520. Its totient is φ = 2239488.

The previous prime is 9666533. The next prime is 9666551. The reversal of 9666540 is 456669.

It is a happy number.

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

It is an Ulam number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9666495 and 9666504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568612 + ... + 568628.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 2^9666540 is an apocalyptic number.

9666540 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 9666540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

9666540 is an abundant number, since it is smaller than the sum of its proper divisors (25048980).

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

9666540 is a wasteful number, since it uses less digits than its factorization.

9666540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9666540 is about 3109.1059808247. The cubic root of 9666540 is about 213.0216204993.

The spelling of 9666540 in words is "nine million, six hundred sixty-six thousand, five hundred forty".