5821200 has 360 divisors, whose sum is σ = 26292960. Its totient is φ = 1209600.

The previous prime is 5821183. The next prime is 5821213. The reversal of 5821200 is 21285.

5821200 = 15³ + 16³ + ... + 69³.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529195 + ... + 529205.

It is an arithmetic number, because the mean of its divisors is an integer number (73036).

Almost surely, 2^5821200 is an apocalyptic number.

5821200 is a gapful number since it is divisible by the number (50) 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 5821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

5821200 is an abundant number, since it is smaller than the sum of its proper divisors (20471760).

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

5821200 is a wasteful number, since it uses less digits than its factorization.

5821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

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

The square root of 5821200 is about 2412.7163115460. The cubic root of 5821200 is about 179.8888202311. Note that the first 4 decimals are identical.

Adding to 5821200 its reverse (21285), we get a palindrome (5842485).

The spelling of 5821200 in words is "five million, eight hundred twenty-one thousand, two hundred".