9964080 has 160 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 2274048.

The previous prime is 9964049. The next prime is 9964099. The reversal of 9964080 is 804699.

9964080 is a `hidden beast` number, since 9 + 9 + 640 + 8 + 0 = 666.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14791 + ... + 15449.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^9964080 is an apocalyptic number.

9964080 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 9964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

9964080 is an abundant number, since it is smaller than the sum of its proper divisors (29319120).

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

9964080 is a wasteful number, since it uses less digits than its factorization.

9964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9964080 is about 3156.5931001635. The cubic root of 9964080 is about 215.1852018772.

The spelling of 9964080 in words is "nine million, nine hundred sixty-four thousand, eighty".