36006816 has 48 divisors (see below), whose sum is σ = 100082304. Its totient is φ = 11295744.

The previous prime is 36006797. The next prime is 36006821. The reversal of 36006816 is 61860063.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 9400 + ... + 12663.

It is an arithmetic number, because the mean of its divisors is an integer number (2085048).

Almost surely, 2^36006816 is an apocalyptic number.

It is an amenable number.

36006816 is an abundant number, since it is smaller than the sum of its proper divisors (64075488).

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

36006816 is a wasteful number, since it uses less digits than its factorization.

36006816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22093 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 36006816 is about 6000.5679731172. The cubic root of 36006816 is about 330.2135624042.

Adding to 36006816 its reverse (61860063), we get a palindrome (97866879).

The spelling of 36006816 in words is "thirty-six million, six thousand, eight hundred sixteen".