6013800 has 144 divisors (see below), whose sum is σ = 21834540. Its totient is φ = 1474560.

The previous prime is 6013793. The next prime is 6013829. The reversal of 6013800 is 83106.

6013800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2965284 + 3048516 = 1722^2 + 1746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23272 + ... + 23528.

Almost surely, 2^6013800 is an apocalyptic number.

6013800 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 6013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917270).

6013800 is an abundant number, since it is smaller than the sum of its proper divisors (15820740).

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

6013800 is a wasteful number, since it uses less digits than its factorization.

6013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6013800 is about 2452.3050381223. The cubic root of 6013800 is about 181.8512651920.

Adding to 6013800 its reverse (83106), we get a palindrome (6096906).

The spelling of 6013800 in words is "six million, thirteen thousand, eight hundred".