36081648 has 60 divisors (see below), whose sum is σ = 101417368. Its totient is φ = 11975040.

The previous prime is 36081611. The next prime is 36081649. The reversal of 36081648 is 84618063.

It is a happy number.

36081648 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 1 + 648 = 666.

36081648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36081649) 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 11 ways as a sum of consecutive naturals, for example, 47286 + ... + 48042.

Almost surely, 2^36081648 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 36081648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50708684).

36081648 is an abundant number, since it is smaller than the sum of its proper divisors (65335720).

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

36081648 is a wasteful number, since it uses less digits than its factorization.

36081648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36081648 is about 6006.8001465006. The cubic root of 36081648 is about 330.4421621099.

The spelling of 36081648 in words is "thirty-six million, eighty-one thousand, six hundred forty-eight".