36618648 has 64 divisors (see below), whose sum is σ = 103334400. Its totient is φ = 10711680.

The previous prime is 36618623. The next prime is 36618679. The reversal of 36618648 is 84681663.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5265 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (1614600).

Almost surely, 2^36618648 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 36618648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667200).

36618648 is an abundant number, since it is smaller than the sum of its proper divisors (66715752).

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

36618648 is a wasteful number, since it uses less digits than its factorization.

36618648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 36618648 is about 6051.3343982960. The cubic root of 36618648 is about 332.0734100019.

The spelling of 36618648 in words is "thirty-six million, six hundred eighteen thousand, six hundred forty-eight".