8444100 has 72 divisors (see below), whose sum is σ = 27928768. Its totient is φ = 1929600.

The previous prime is 8444083. The next prime is 8444123. The reversal of 8444100 is 14448.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

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, 90 + ... + 4110.

Almost surely, 2^8444100 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 8444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964384).

8444100 is an abundant number, since it is smaller than the sum of its proper divisors (19484668).

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

8444100 is a wasteful number, since it uses less digits than its factorization.

8444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8444100 is about 2905.8733626915. The cubic root of 8444100 is about 203.6343893545.

Adding to 8444100 its reverse (14448), we get a palindrome (8458548).

The spelling of 8444100 in words is "eight million, four hundred forty-four thousand, one hundred".