36615792 has 80 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 11621376.

The previous prime is 36615791. The next prime is 36615809. The reversal of 36615792 is 29751663.

36615792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36615792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36615791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93934 + ... + 94322.

It is an arithmetic number, because the mean of its divisors is an integer number (1240434).

Almost surely, 2^36615792 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 36615792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

36615792 is an abundant number, since it is smaller than the sum of its proper divisors (62618928).

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

36615792 is a wasteful number, since it uses less digits than its factorization.

36615792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 36615792 is about 6051.0984126851. The cubic root of 36615792 is about 332.0647766382.

It can be divided in two parts, 3661 and 5792, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 36615792 in words is "thirty-six million, six hundred fifteen thousand, seven hundred ninety-two".