8219920 has 40 divisors (see below), whose sum is σ = 19634904. Its totient is φ = 3197952.

The previous prime is 8219917. The next prime is 8219941. The reversal of 8219920 is 299128.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 7203856 = 1008^2 + 2684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 4348.

Almost surely, 2^8219920 is an apocalyptic number.

8219920 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 8219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817452).

8219920 is an abundant number, since it is smaller than the sum of its proper divisors (11414984).

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

8219920 is a wasteful number, since it uses less digits than its factorization.

8219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 8219920 is about 2867.0402857302. The cubic root of 8219920 is about 201.8161251952.

It can be divided in two parts, 82 and 19920, that added together give a palindrome (20002).

The spelling of 8219920 in words is "eight million, two hundred nineteen thousand, nine hundred twenty".