6117200 has 60 divisors (see below), whose sum is σ = 15095388. Its totient is φ = 2380800.

The previous prime is 6117197. The next prime is 6117203. The reversal of 6117200 is 27116.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6117197) and next prime (6117203).

It can be written as a sum of positive squares in 6 ways, for example, as 937024 + 5180176 = 968^2 + 2276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16214 + ... + 16586.

Almost surely, 2^6117200 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 6117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547694).

6117200 is an abundant number, since it is smaller than the sum of its proper divisors (8978188).

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

6117200 is a wasteful number, since it uses less digits than its factorization.

6117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 6117200 is about 2473.2973941684. The cubic root of 6117200 is about 182.8875856123.

Subtracting from 6117200 its product of nonzero digits (84), we obtain a palindrome (6117116).

The spelling of 6117200 in words is "six million, one hundred seventeen thousand, two hundred".