5939200 has 84 divisors (see below), whose sum is σ = 15236190. Its totient is φ = 2293760.

The previous prime is 5939179. The next prime is 5939209. The reversal of 5939200 is 29395.

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 1478656 = 2112^2 + 1216^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5939209) 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, 204786 + ... + 204814.

Almost surely, 2^5939200 is an apocalyptic number.

5939200 is a gapful number since it is divisible by the number (50) 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 5939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618095).

5939200 is an abundant number, since it is smaller than the sum of its proper divisors (9296990).

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

5939200 is an equidigital number, since it uses as much as digits as its factorization.

5939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 5939200 is about 2437.0473938765. The cubic root of 5939200 is about 181.0961913541.

The spelling of 5939200 in words is "five million, nine hundred thirty-nine thousand, two hundred".