9946080 has 72 divisors (see below), whose sum is σ = 33945912. Its totient is φ = 2651904.

The previous prime is 9946073. The next prime is 9946099. The reversal of 9946080 is 806499.

9946080 = T₁₂₅ + T₁₂₆ + ... + T₃₉₄.

9946080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2014 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (471471).

Almost surely, 2^9946080 is an apocalyptic number.

9946080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9946080 is an abundant number, since it is smaller than the sum of its proper divisors (23999832).

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

9946080 is a wasteful number, since it uses less digits than its factorization.

9946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6917 counting only the distinct ones).

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

The square root of 9946080 is about 3153.7406361335. The cubic root of 9946080 is about 215.0555472124.

The spelling of 9946080 in words is "nine million, nine hundred forty-six thousand, eighty".