8484100 has 36 divisors (see below), whose sum is σ = 18916324. Its totient is φ = 3300480.

The previous prime is 8484097. The next prime is 8484107. The reversal of 8484100 is 14848.

It can be written as a sum of positive squares in 6 ways, for example, as 4356 + 8479744 = 66^2 + 2912^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8484107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2554 + ... + 4846.

Almost surely, 2^8484100 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 8484100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9458162).

8484100 is an abundant number, since it is smaller than the sum of its proper divisors (10432224).

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

8484100 is a wasteful number, since it uses less digits than its factorization.

8484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8484100 is about 2912.7478435319. The cubic root of 8484100 is about 203.9554240680.

Adding to 8484100 its reverse (14848), we get a palindrome (8498948).

The spelling of 8484100 in words is "eight million, four hundred eighty-four thousand, one hundred".