36540504 has 256 divisors, whose sum is σ = 137088000. Its totient is φ = 8760960.

The previous prime is 36540467. The next prime is 36540509. The reversal of 36540504 is 40504563.

36540504 is a `hidden beast` number, since 3 + 654 + 0 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36540509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2810802 + ... + 2810814.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 2^36540504 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 36540504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

36540504 is an abundant number, since it is smaller than the sum of its proper divisors (100547496).

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

36540504 is a wasteful number, since it uses less digits than its factorization.

36540504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36540504 is about 6044.8741922392. The cubic root of 36540504 is about 331.8370274790.

The spelling of 36540504 in words is "thirty-six million, five hundred forty thousand, five hundred four".