36620144 has 80 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 15367680.

The previous prime is 36620141. The next prime is 36620149. The reversal of 36620144 is 44102663.

36620144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36620141) 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, 157052 + ... + 157284.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^36620144 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 36620144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

36620144 is an abundant number, since it is smaller than the sum of its proper divisors (46945936).

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

36620144 is a wasteful number, since it uses less digits than its factorization.

36620144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 36620144 is about 6051.4580061337. The cubic root of 36620144 is about 332.0779320608.

The spelling of 36620144 in words is "thirty-six million, six hundred twenty thousand, one hundred forty-four".