36240624 has 120 divisors (see below), whose sum is σ = 117160160. Its totient is φ = 10243584.

The previous prime is 36240623. The next prime is 36240637. The reversal of 36240624 is 42604263.

36240624 is a `hidden beast` number, since 36 + 2 + 4 + 0 + 624 = 666.

36240624 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 (36240623) 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 23 ways as a sum of consecutive naturals, for example, 158142 + ... + 158370.

Almost surely, 2^36240624 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 36240624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58580080).

36240624 is an abundant number, since it is smaller than the sum of its proper divisors (80919536).

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

36240624 is a wasteful number, since it uses less digits than its factorization.

36240624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36240624 is about 6020.0186046224. The cubic root of 36240624 is about 330.9267612685.

Adding to 36240624 its reverse (42604263), we get a palindrome (78844887).

It can be divided in two parts, 36240 and 624, that added together give a square (36864 = 192²).

The spelling of 36240624 in words is "thirty-six million, two hundred forty thousand, six hundred twenty-four".