6241200 has 120 divisors (see below), whose sum is σ = 22879488. Its totient is φ = 1424640.

The previous prime is 6241187. The next prime is 6241201. The reversal of 6241200 is 21426.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6241200.

It is not an unprimeable number, because it can be changed into a prime (6241201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8029 + ... + 8771.

Almost surely, 2^6241200 is an apocalyptic number.

6241200 is a gapful number since it is divisible by the number (60) 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 6241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439744).

6241200 is an abundant number, since it is smaller than the sum of its proper divisors (16638288).

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

6241200 is a wasteful number, since it uses less digits than its factorization.

6241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6241200 is about 2498.2393800435. The cubic root of 6241200 is about 184.1150823863.

Adding to 6241200 its reverse (21426), we get a palindrome (6262626).

It can be divided in two parts, 6241 and 200, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 6241200 in words is "six million, two hundred forty-one thousand, two hundred".