6036800 has 168 divisors, whose sum is σ = 18897600. Its totient is φ = 1881600.

The previous prime is 6036769. The next prime is 6036803. The reversal of 6036800 is 86306.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6036803) 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, 548795 + ... + 548805.

Almost surely, 2^6036800 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 6036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448800).

6036800 is an abundant number, since it is smaller than the sum of its proper divisors (12860800).

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

6036800 is a wasteful number, since it uses less digits than its factorization.

6036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6036800 is about 2456.9900284698. The cubic root of 6036800 is about 182.0828025592.

The spelling of 6036800 in words is "six million, thirty-six thousand, eight hundred".