8421600 has 216 divisors, whose sum is σ = 31169880. Its totient is φ = 1971200.

The previous prime is 8421587. The next prime is 8421619. The reversal of 8421600 is 61248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290386 + ... + 290414.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 2^8421600 is an apocalyptic number.

8421600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

8421600 is an abundant number, since it is smaller than the sum of its proper divisors (22748280).

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

8421600 is a wasteful number, since it uses less digits than its factorization.

8421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8421600 is about 2901.9993108200. Note that the first 3 decimals coincide. The cubic root of 8421600 is about 203.4533616034.

Adding to 8421600 its reverse (61248), we get a palindrome (8482848).

It can be divided in two parts, 842 and 1600, that added together give a palindrome (2442).

The spelling of 8421600 in words is "eight million, four hundred twenty-one thousand, six hundred".