6013000 has 64 divisors (see below), whose sum is σ = 16099200. Its totient is φ = 2059200.

The previous prime is 6012899. The next prime is 6013013. The reversal of 6013000 is 3106.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 6013000 = 72³ + 178³ = 115³ + 165³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6571 + ... + 7429.

It is an arithmetic number, because the mean of its divisors is an integer number (251550).

Almost surely, 2^6013000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049600).

6013000 is an abundant number, since it is smaller than the sum of its proper divisors (10086200).

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

6013000 is a wasteful number, since it uses less digits than its factorization.

6013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 6013000 is about 2452.1419208521. The cubic root of 6013000 is about 181.8432011025.

Adding to 6013000 its reverse (3106), we get a palindrome (6016106).

The spelling of 6013000 in words is "six million, thirteen thousand".