6113600 has 42 divisors (see below), whose sum is σ = 15047214. Its totient is φ = 2444800.

The previous prime is 6113593. The next prime is 6113609. The reversal of 6113600 is 63116.

It can be written as a sum of positive squares in 3 ways, for example, as 1308736 + 4804864 = 1144^2 + 2192^2 .

It is a super-2 number, since 2×6113600² = 74752209920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (358267).

Almost surely, 2^6113600 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 6113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523607).

6113600 is an abundant number, since it is smaller than the sum of its proper divisors (8933614).

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

6113600 is a wasteful number, since it uses less digits than its factorization.

6113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 6113600 is about 2472.5695136841. The cubic root of 6113600 is about 182.8517018470.

Adding to 6113600 its reverse (63116), we get a palindrome (6176716).

The spelling of 6113600 in words is "six million, one hundred thirteen thousand, six hundred".