36001224 has 96 divisors (see below), whose sum is σ = 113355840. Its totient is φ = 10108800.

The previous prime is 36001183. The next prime is 36001241. The reversal of 36001224 is 42210063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36001197 and 36001206.

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 23 ways as a sum of consecutive naturals, for example, 30159 + ... + 31329.

It is an arithmetic number, because the mean of its divisors is an integer number (1180790).

Almost surely, 2^36001224 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 36001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56677920).

36001224 is an abundant number, since it is smaller than the sum of its proper divisors (77354616).

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

36001224 is a wasteful number, since it uses less digits than its factorization.

36001224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36001224 is about 6000.1019991330. The cubic root of 36001224 is about 330.1964670313.

Adding to 36001224 its reverse (42210063), we get a palindrome (78211287).

The spelling of 36001224 in words is "thirty-six million, one thousand, two hundred twenty-four".