8219904 has 144 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 2119680.

The previous prime is 8219903. The next prime is 8219909. The reversal of 8219904 is 4099128.

8219904 = T₃₅₇ + T₃₅₈ + ... + T₄₅₅.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219903) by changing a digit.

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, 59067 + ... + 59205.

Almost surely, 2^8219904 is an apocalyptic number.

8219904 is a gapful number since it is divisible by the number (84) 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 8219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735680).

8219904 is an abundant number, since it is smaller than the sum of its proper divisors (19251456).

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

8219904 is a wasteful number, since it uses less digits than its factorization.

8219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 8219904 is about 2867.0374953949. The cubic root of 8219904 is about 201.8159942507.

It can be divided in two parts, 8 and 219904, that added together give a palindrome (219912).

The spelling of 8219904 in words is "eight million, two hundred nineteen thousand, nine hundred four".