63636120 has 96 divisors (see below), whose sum is σ = 211273920. Its totient is φ = 16604160.

The previous prime is 63636107. The next prime is 63636127. The reversal of 63636120 is 2163636.

63636120 is a `hidden beast` number, since 6 + 3 + 636 + 1 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63636127) by changing a digit.

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, 15040 + ... + 18800.

It is an arithmetic number, because the mean of its divisors is an integer number (2200770).

Almost surely, 2^63636120 is an apocalyptic number.

63636120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63636120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105636960).

63636120 is an abundant number, since it is smaller than the sum of its proper divisors (147637800).

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

63636120 is a wasteful number, since it uses less digits than its factorization.

63636120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 63636120 is about 7977.2250814428. The cubic root of 63636120 is about 399.2404753854.

Adding to 63636120 its reverse (2163636), we get a palindrome (65799756).

The spelling of 63636120 in words is "sixty-three million, six hundred thirty-six thousand, one hundred twenty".