36045696 has 128 divisors (see below), whose sum is σ = 102326400. Its totient is φ = 11225088.

The previous prime is 36045689. The next prime is 36045697. The reversal of 36045696 is 69654063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36045697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610915 + ... + 610973.

It is an arithmetic number, because the mean of its divisors is an integer number (799425).

Almost surely, 2^36045696 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 36045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51163200).

36045696 is an abundant number, since it is smaller than the sum of its proper divisors (66280704).

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

36045696 is a wasteful number, since it uses less digits than its factorization.

36045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 36045696 is about 6003.8067923610. The cubic root of 36045696 is about 330.3323740297.

It can be divided in two parts, 360 and 45696, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 36045696 in words is "thirty-six million, forty-five thousand, six hundred ninety-six".