5958200 has 48 divisors (see below), whose sum is σ = 14314560. Its totient is φ = 2306400.

The previous prime is 5958193. The next prime is 5958217. The reversal of 5958200 is 28595.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192185 + ... + 192215.

It is an arithmetic number, because the mean of its divisors is an integer number (298220).

Almost surely, 2^5958200 is an apocalyptic number.

5958200 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 5958200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157280).

5958200 is an abundant number, since it is smaller than the sum of its proper divisors (8356360).

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

5958200 is an equidigital number, since it uses as much as digits as its factorization.

5958200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 5958200 is about 2440.9424409437. The cubic root of 5958200 is about 181.2890997692.

The spelling of 5958200 in words is "five million, nine hundred fifty-eight thousand, two hundred".