6131200 has 60 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 2447360.

The previous prime is 6131189. The next prime is 6131219. The reversal of 6131200 is 21316.

It is a super-2 number, since 2×6131200² = 75183226880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12561 + ... + 13039.

It is an arithmetic number, because the mean of its divisors is an integer number (253704).

Almost surely, 2^6131200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

6131200 is an abundant number, since it is smaller than the sum of its proper divisors (9091040).

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

6131200 is an equidigital number, since it uses as much as digits as its factorization.

6131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6131200 is about 2476.1260064867. The cubic root of 6131200 is about 183.0269999080.

Adding to 6131200 its reverse (21316), we get a palindrome (6152516).

The spelling of 6131200 in words is "six million, one hundred thirty-one thousand, two hundred".