8021200 has 60 divisors (see below), whose sum is σ = 21034368. Its totient is φ = 2915200.

The previous prime is 8021191. The next prime is 8021231. The reversal of 8021200 is 21208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3489 + ... + 5311.

Almost surely, 2^8021200 is an apocalyptic number.

8021200 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 8021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517184).

8021200 is an abundant number, since it is smaller than the sum of its proper divisors (13013168).

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

8021200 is a wasteful number, since it uses less digits than its factorization.

8021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8021200 is about 2832.1723111421. The cubic root of 8021200 is about 200.1765108405.

Adding to 8021200 its reverse (21208), we get a palindrome (8042408).

It can be divided in two parts, 802 and 1200, that added together give a palindrome (2002).

The spelling of 8021200 in words is "eight million, twenty-one thousand, two hundred".