5959800 has 288 divisors, whose sum is σ = 25534080. Its totient is φ = 1209600.

The previous prime is 5959799. The next prime is 5959813. The reversal of 5959800 is 89595.

5959800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138579 + ... + 138621.

It is an arithmetic number, because the mean of its divisors is an integer number (88660).

Almost surely, 2^5959800 is an apocalyptic number.

5959800 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 5959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040).

5959800 is an abundant number, since it is smaller than the sum of its proper divisors (19574280).

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

5959800 is a wasteful number, since it uses less digits than its factorization.

5959800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 5959800 is about 2441.2701612071. The cubic root of 5959800 is about 181.3053259560.

It can be divided in two parts, 5 and 959800, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 5959800 in words is "five million, nine hundred fifty-nine thousand, eight hundred".