36585360 has 360 divisors, whose sum is σ = 153813816. Its totient is φ = 7741440.

The previous prime is 36585359. The next prime is 36585361. The reversal of 36585360 is 6358563.

36585360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36585359) and next prime (36585361).

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 35569296 = 1008^2 + 5964^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36585361) 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 71 ways as a sum of consecutive naturals, for example, 599730 + ... + 599790.

Almost surely, 2^36585360 is an apocalyptic number.

36585360 is a gapful number since it is divisible by the number (30) 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 36585360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76906908).

36585360 is an abundant number, since it is smaller than the sum of its proper divisors (117228456).

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

36585360 is a wasteful number, since it uses less digits than its factorization.

36585360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 36585360 is about 6048.5833052046. The cubic root of 36585360 is about 331.9727562684.

The spelling of 36585360 in words is "thirty-six million, five hundred eighty-five thousand, three hundred sixty".