5831200 has 72 divisors (see below), whose sum is σ = 14694372. Its totient is φ = 2257920.

The previous prime is 5831197. The next prime is 5831239. The reversal of 5831200 is 21385.

It is a happy number.

5831200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 5035536 + 795664 = 2244^2 + 892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29502 + ... + 29698.

Almost surely, 2^5831200 is an apocalyptic number.

5831200 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 5831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347186).

5831200 is an abundant number, since it is smaller than the sum of its proper divisors (8863172).

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

5831200 is a wasteful number, since it uses less digits than its factorization.

5831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5831200 is about 2414.7877753542. The cubic root of 5831200 is about 179.9917691710.

Adding to 5831200 its reverse (21385), we get a palindrome (5852585).

The spelling of 5831200 in words is "five million, eight hundred thirty-one thousand, two hundred".