8214080 has 112 divisors (see below), whose sum is σ = 23652480. Its totient is φ = 2654208.

The previous prime is 8214071. The next prime is 8214091. The reversal of 8214080 is 804128.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×8214080² = 134942220492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42464 + ... + 42656.

Almost surely, 2^8214080 is an apocalyptic number.

8214080 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 8214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826240).

8214080 is an abundant number, since it is smaller than the sum of its proper divisors (15438400).

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

8214080 is a wasteful number, since it uses less digits than its factorization.

8214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 8214080 is about 2866.0216328562. The cubic root of 8214080 is about 201.7683191580.

The spelling of 8214080 in words is "eight million, two hundred fourteen thousand, eighty".