8214408 has 24 divisors (see below), whose sum is σ = 22247550. Its totient is φ = 2738112.

The previous prime is 8214389. The next prime is 8214439. The reversal of 8214408 is 8044128.

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 1954404 = 2502^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56973 + ... + 57116.

Almost surely, 2^8214408 is an apocalyptic number.

It is an amenable number.

8214408 is an abundant number, since it is smaller than the sum of its proper divisors (14033142).

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

8214408 is a wasteful number, since it uses less digits than its factorization.

8214408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114101 (or 114094 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8214408 is about 2866.0788544630. The cubic root of 8214408 is about 201.7710047551.

The spelling of 8214408 in words is "eight million, two hundred fourteen thousand, four hundred eight".