8219880 has 160 divisors (see below), whose sum is σ = 28749600. Its totient is φ = 2104704.

The previous prime is 8219879. The next prime is 8219881. The reversal of 8219880 is 889128.

It is an interprime number because it is at equal distance from previous prime (8219879) and next prime (8219881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8219881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139291 + ... + 139349.

It is an arithmetic number, because the mean of its divisors is an integer number (179685).

Almost surely, 2^8219880 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 8219880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374800).

8219880 is an abundant number, since it is smaller than the sum of its proper divisors (20529720).

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

8219880 is a wasteful number, since it uses less digits than its factorization.

8219880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8219880 is about 2867.0333098867. The cubic root of 8219880 is about 201.8157978336.

It can be divided in two parts, 821 and 9880, that added together give a palindrome (10701).

The spelling of 8219880 in words is "eight million, two hundred nineteen thousand, eight hundred eighty".