6139200 has 84 divisors (see below), whose sum is σ = 20157440. Its totient is φ = 1635840.

The previous prime is 6139141. The next prime is 6139201. The reversal of 6139200 is 29316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6139201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4161 + ... + 5439.

Almost surely, 2^6139200 is an apocalyptic number.

6139200 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 6139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10078720).

6139200 is an abundant number, since it is smaller than the sum of its proper divisors (14018240).

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

6139200 is a wasteful number, since it uses less digits than its factorization.

6139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6139200 is about 2477.7409065518. The cubic root of 6139200 is about 183.1065699554.

The spelling of 6139200 in words is "six million, one hundred thirty-nine thousand, two hundred".