36636768 has 144 divisors (see below), whose sum is σ = 126191520. Its totient is φ = 9842688.

The previous prime is 36636763. The next prime is 36636779. The reversal of 36636768 is 86763663.

36636768 is a `hidden beast` number, since 3 + 6 + 636 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36636763) 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, 33738 + ... + 34806.

It is an arithmetic number, because the mean of its divisors is an integer number (876330).

Almost surely, 2^36636768 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 36636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63095760).

36636768 is an abundant number, since it is smaller than the sum of its proper divisors (89554752).

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

36636768 is a wasteful number, since it uses less digits than its factorization.

36636768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 36636768 is about 6052.8314035664. The cubic root of 36636768 is about 332.1281742481.

It can be divided in two parts, 36 and 636768, that added together give a square (636804 = 798²).

The spelling of 36636768 in words is "thirty-six million, six hundred thirty-six thousand, seven hundred sixty-eight".