6058000 has 80 divisors (see below), whose sum is σ = 15842736. Its totient is φ = 2227200.

The previous prime is 6057991. The next prime is 6058007. The reversal of 6058000 is 8506.

It can be written as a sum of positive squares in 8 ways, for example, as 4064256 + 1993744 = 2016^2 + 1412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6058007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25884 + ... + 26116.

Almost surely, 2^6058000 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 6058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368).

6058000 is an abundant number, since it is smaller than the sum of its proper divisors (9784736).

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

6058000 is a wasteful number, since it uses less digits than its factorization.

6058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 6058000 is about 2461.3004692642. The cubic root of 6058000 is about 182.2956993212.

It can be divided in two parts, 605 and 8000, that multiplied together give a square (4840000 = 2200²).

The spelling of 6058000 in words is "six million, fifty-eight thousand".