36663528 has 64 divisors (see below), whose sum is σ = 100958400. Its totient is φ = 11002880.

The previous prime is 36663527. The next prime is 36663547. The reversal of 36663528 is 82536663.

It is a happy number.

36663528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36663527) 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 15 ways as a sum of consecutive naturals, for example, 29218 + ... + 30446.

It is an arithmetic number, because the mean of its divisors is an integer number (1577475).

Almost surely, 2^36663528 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 36663528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50479200).

36663528 is an abundant number, since it is smaller than the sum of its proper divisors (64294872).

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

36663528 is a wasteful number, since it uses less digits than its factorization.

36663528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 36663528 is about 6055.0415357783. The cubic root of 36663528 is about 332.2090182326.

It can be divided in two parts, 366635 and 28, that added together give a palindrome (366663).

The spelling of 36663528 in words is "thirty-six million, six hundred sixty-three thousand, five hundred twenty-eight".