36105768 has 48 divisors (see below), whose sum is σ = 102042720. Its totient is φ = 11511456.

The previous prime is 36105763. The next prime is 36105809. The reversal of 36105768 is 86750163.

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

It is not an unprimeable number, because it can be changed into a prime (36105763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9246 + ... + 12557.

It is an arithmetic number, because the mean of its divisors is an integer number (2125890).

Almost surely, 2^36105768 is an apocalyptic number.

It is an amenable number.

36105768 is an abundant number, since it is smaller than the sum of its proper divisors (65936952).

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

36105768 is a wasteful number, since it uses less digits than its factorization.

36105768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21838 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 36105768 is about 6008.8075356097. The cubic root of 36105768 is about 330.5157774615.

The spelling of 36105768 in words is "thirty-six million, one hundred five thousand, seven hundred sixty-eight".