36616032 has 36 divisors (see below), whose sum is σ = 104127660. Its totient is φ = 12205248.

The previous prime is 36616007. The next prime is 36616039. The reversal of 36616032 is 23061663.

36616032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 36615987 and 36616005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36616039) 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 5 ways as a sum of consecutive naturals, for example, 63282 + ... + 63857.

It is an arithmetic number, because the mean of its divisors is an integer number (2892435).

Almost surely, 2^36616032 is an apocalyptic number.

36616032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36616032 is an abundant number, since it is smaller than the sum of its proper divisors (67511628).

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

36616032 is a wasteful number, since it uses less digits than its factorization.

36616032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127155 (or 127144 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36616032 is about 6051.1182437629. The cubic root of 36616032 is about 332.0655021482.

Adding to 36616032 its reverse (23061663), we get a palindrome (59677695).

The spelling of 36616032 in words is "thirty-six million, six hundred sixteen thousand, thirty-two".