8198820 has 144 divisors (see below), whose sum is σ = 29597568. Its totient is φ = 1866240.

The previous prime is 8198809. The next prime is 8198831. The reversal of 8198820 is 288918.

It is an interprime number because it is at equal distance from previous prime (8198809) and next prime (8198831).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33900 + ... + 34140.

Almost surely, 2^8198820 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 8198820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798784).

8198820 is an abundant number, since it is smaller than the sum of its proper divisors (21398748).

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

8198820 is a wasteful number, since it uses less digits than its factorization.

8198820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

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

The square root of 8198820 is about 2863.3581683052. The cubic root of 8198820 is about 201.6432942732.

The spelling of 8198820 in words is "eight million, one hundred ninety-eight thousand, eight hundred twenty".