36621120 has 112 divisors (see below), whose sum is σ = 119530368. Its totient is φ = 9492480.

The previous prime is 36621119. The next prime is 36621127. The reversal of 36621120 is 2112663.

It is a happy number.

It is a super-2 number, since 2×36621120² = 2682212860108800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36621127) 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 15 ways as a sum of consecutive naturals, for example, 35005 + ... + 36035.

Almost surely, 2^36621120 is an apocalyptic number.

36621120 is a gapful number since it is divisible by the number (30) 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 36621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59765184).

36621120 is an abundant number, since it is smaller than the sum of its proper divisors (82909248).

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

36621120 is a wasteful number, since it uses less digits than its factorization.

36621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 36621120 is about 6051.5386473194. The cubic root of 36621120 is about 332.0808822147.

Adding to 36621120 its reverse (2112663), we get a palindrome (38733783).

The spelling of 36621120 in words is "thirty-six million, six hundred twenty-one thousand, one hundred twenty".