6036000 has 96 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1606400.

The previous prime is 6035999. The next prime is 6036001. The reversal of 6036000 is 6306.

It is an interprime number because it is at equal distance from previous prime (6035999) and next prime (6036001).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (6036001) 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, 11749 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^6036000 is an apocalyptic number.

6036000 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 6036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

6036000 is an abundant number, since it is smaller than the sum of its proper divisors (13777248).

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

6036000 is a wasteful number, since it uses less digits than its factorization.

6036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 6036000 is about 2456.8272222523. The cubic root of 6036000 is about 182.0747589667.

The spelling of 6036000 in words is "six million, thirty-six thousand", and thus it is an eban number.