36008820 has 48 divisors (see below), whose sum is σ = 112029120. Its totient is φ = 9602208.

The previous prime is 36008813. The next prime is 36008827. The reversal of 36008820 is 2880063.

36008820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36008813) and next prime (36008827).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36008827) 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, 32802 + ... + 33881.

It is an arithmetic number, because the mean of its divisors is an integer number (2333940).

Almost surely, 2^36008820 is an apocalyptic number.

36008820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36008820 is an abundant number, since it is smaller than the sum of its proper divisors (76020300).

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

36008820 is a wasteful number, since it uses less digits than its factorization.

36008820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66701 (or 66693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36008820 is about 6000.7349549868. The cubic root of 36008820 is about 330.2196884268.

Adding to 36008820 its reverse (2880063), we get a palindrome (38888883).

The spelling of 36008820 in words is "thirty-six million, eight thousand, eight hundred twenty".