8214048 has 60 divisors (see below), whose sum is σ = 24164910. Its totient is φ = 2737152.

The previous prime is 8214029. The next prime is 8214071. The reversal of 8214048 is 8404128.

8214048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5817744 + 2396304 = 2412^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam 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 9 ways as a sum of consecutive naturals, for example, 1008 + ... + 4176.

Almost surely, 2^8214048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082455).

8214048 is an abundant number, since it is smaller than the sum of its proper divisors (15950862).

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

8214048 is a wasteful number, since it uses less digits than its factorization.

8214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3174 counting only the distinct ones).

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

The square root of 8214048 is about 2866.0160501993. The cubic root of 8214048 is about 201.7680571447.

The spelling of 8214048 in words is "eight million, two hundred fourteen thousand, forty-eight".