8036000 has 144 divisors (see below), whose sum is σ = 23528232. Its totient is φ = 2688000.

The previous prime is 8035999. The next prime is 8036003. The reversal of 8036000 is 6308.

It is a happy number.

8036000 is digitally balanced in base 8, 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 4 ways, for example, as 659344 + 7376656 = 812^2 + 2716^2 .

8036000 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 8036000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8036003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195980 + ... + 196020.

Almost surely, 2^8036000 is an apocalyptic number.

8036000 is a gapful number since it is divisible by the number (80) 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 8036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

8036000 is an abundant number, since it is smaller than the sum of its proper divisors (15492232).

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

8036000 is a wasteful number, since it uses less digits than its factorization.

8036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 8036000 is about 2834.7839423843. The cubic root of 8036000 is about 200.2995511216.

The spelling of 8036000 in words is "eight million, thirty-six thousand".