8946080 has 192 divisors, whose sum is σ = 27433728. Its totient is φ = 2703360.

The previous prime is 8946061. The next prime is 8946083. The reversal of 8946080 is 806498.

It is a Cunningham number, because it is equal to 2991²-1.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8946080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8946083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388949 + ... + 388971.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^8946080 is an apocalyptic number.

8946080 is a gapful number since it is divisible by the number (80) 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 8946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

8946080 is an abundant number, since it is smaller than the sum of its proper divisors (18487648).

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

8946080 is a wasteful number, since it uses less digits than its factorization.

8946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8946080 is about 2990.9998328318. Note that the first 3 decimals coincide. The cubic root of 8946080 is about 207.5921495194.

Multiplying 8946080 by its sum of digits (35), we get a triangular number (313112800 = T₂₅₀₂₄).

The spelling of 8946080 in words is "eight million, nine hundred forty-six thousand, eighty".