8914080 has 144 divisors (see below), whose sum is σ = 32749920. Its totient is φ = 2032128.

The previous prime is 8914079. The next prime is 8914099. The reversal of 8914080 is 804198.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23331 + ... + 23709.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 2^8914080 is an apocalyptic number.

8914080 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 8914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374960).

8914080 is an abundant number, since it is smaller than the sum of its proper divisors (23835840).

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

8914080 is a wasteful number, since it uses less digits than its factorization.

8914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8914080 is about 2985.6456588149. The cubic root of 8914080 is about 207.3443357604.

The spelling of 8914080 in words is "eight million, nine hundred fourteen thousand, eighty".