36540648 has 48 divisors (see below), whose sum is σ = 104176800. Its totient is φ = 11538720.

The previous prime is 36540643. The next prime is 36540653. The reversal of 36540648 is 84604563.

36540648 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 0 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (36540643) and next prime (36540653).

It is a super-3 number, since 3×36540648³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36540643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11988 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (2170350).

Almost surely, 2^36540648 is an apocalyptic number.

36540648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

36540648 is an abundant number, since it is smaller than the sum of its proper divisors (67636152).

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

36540648 is a wasteful number, since it uses less digits than its factorization.

36540648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26742 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36540648 is about 6044.8861031454. The cubic root of 36540648 is about 331.8374633831.

The spelling of 36540648 in words is "thirty-six million, five hundred forty thousand, six hundred forty-eight".