36530208 has 144 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 10206720.

The previous prime is 36530203. The next prime is 36530213. The reversal of 36530208 is 80203563.

36530208 is a `hidden beast` number, since 3 + 653 + 0 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (36530203) and next prime (36530213).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (36530203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40741 + ... + 41627.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^36530208 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 36530208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090848).

36530208 is an abundant number, since it is smaller than the sum of its proper divisors (85651488).

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

36530208 is a wasteful number, since it uses less digits than its factorization.

36530208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36530208 is about 6044.0225016126. The cubic root of 36530208 is about 331.8058573654.

The spelling of 36530208 in words is "thirty-six million, five hundred thirty thousand, two hundred eight".