8521200 has 150 divisors (see below), whose sum is σ = 30698184. Its totient is φ = 2263680.

The previous prime is 8521189. The next prime is 8521213. The reversal of 8521200 is 21258.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×8521200² = 145221698880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32269 + ... + 32531.

Almost surely, 2^8521200 is an apocalyptic number.

8521200 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 8521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349092).

8521200 is an abundant number, since it is smaller than the sum of its proper divisors (22176984).

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

8521200 is a wasteful number, since it uses less digits than its factorization.

8521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8521200 is about 2919.1094532408. The cubic root of 8521200 is about 204.2522830333.

Adding to 8521200 its reverse (21258), we get a palindrome (8542458).

The spelling of 8521200 in words is "eight million, five hundred twenty-one thousand, two hundred".