8442200 has 96 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2918400.

The previous prime is 8442167. The next prime is 8442221. The reversal of 8442200 is 22448.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44105 + ... + 44295.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^8442200 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 8442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8442200 is an abundant number, since it is smaller than the sum of its proper divisors (14056360).

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

8442200 is a wasteful number, since it uses less digits than its factorization.

8442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 8442200 is about 2905.5464202108. The cubic root of 8442200 is about 203.6191150066.

Adding to 8442200 its reverse (22448), we get a palindrome (8464648).

The spelling of 8442200 in words is "eight million, four hundred forty-two thousand, two hundred".