6036768 has 120 divisors (see below), whose sum is σ = 18935532. Its totient is φ = 1880064.

The previous prime is 6036757. The next prime is 6036769. The reversal of 6036768 is 8676306.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 219024 = 2412^2 + 468^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6036769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43996 + ... + 44132.

Almost surely, 2^6036768 is an apocalyptic number.

6036768 is a gapful number since it is divisible by the number (68) 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 6036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467766).

6036768 is an abundant number, since it is smaller than the sum of its proper divisors (12898764).

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

6036768 is a wasteful number, since it uses less digits than its factorization.

6036768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6036768 is about 2456.9835164282. The cubic root of 6036768 is about 182.0824808291.

The spelling of 6036768 in words is "six million, thirty-six thousand, seven hundred sixty-eight".