36045936 has 60 divisors (see below), whose sum is σ = 102803688. Its totient is φ = 11786112.

The previous prime is 36045923. The next prime is 36045941. The reversal of 36045936 is 63954063.

36045936 is a `hidden beast` number, since 3 + 60 + 4 + 593 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36045936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5271 + ... + 9993.

Almost surely, 2^36045936 is an apocalyptic number.

36045936 is a gapful number since it is divisible by the number (36) 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 36045936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51401844).

36045936 is an abundant number, since it is smaller than the sum of its proper divisors (66757752).

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

36045936 is a wasteful number, since it uses less digits than its factorization.

36045936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 36045936 is about 6003.8267796465. The cubic root of 36045936 is about 330.3331071694. Note that the first 3 decimals are identical.

Adding to 36045936 its reverse (63954063), we get a palindrome (99999999).

The spelling of 36045936 in words is "thirty-six million, forty-five thousand, nine hundred thirty-six".