6536000 has 112 divisors (see below), whose sum is σ = 17434560. Its totient is φ = 2419200.

The previous prime is 6535999. The next prime is 6536003. The reversal of 6536000 is 6356.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6536003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151979 + ... + 152021.

Almost surely, 2^6536000 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 6536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717280).

6536000 is an abundant number, since it is smaller than the sum of its proper divisors (10898560).

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

6536000 is a wasteful number, since it uses less digits than its factorization.

6536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 6536000 is about 2556.5601890040. The cubic root of 6536000 is about 186.9694632093.

The spelling of 6536000 in words is "six million, five hundred thirty-six thousand".