13626120 has 64 divisors (see below), whose sum is σ = 42664320. Its totient is φ = 3474944.

The previous prime is 13626091. The next prime is 13626133. The reversal of 13626120 is 2162631.

It is a happy number.

It is a super-2 number, since 2×13626120² = 371342292508800, which contains 22 as substring.

It is an unprimeable number.

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, 292 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (666630).

Almost surely, 2^13626120 is an apocalyptic number.

13626120 is a gapful number since it is divisible by the number (10) 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 13626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332160).

13626120 is an abundant number, since it is smaller than the sum of its proper divisors (29038200).

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

13626120 is a wasteful number, since it uses less digits than its factorization.

13626120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4970 counting only the distinct ones).

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

The square root of 13626120 is about 3691.3574738841. The cubic root of 13626120 is about 238.8493533115.

Adding to 13626120 its reverse (2162631), we get a palindrome (15788751).

The spelling of 13626120 in words is "thirteen million, six hundred twenty-six thousand, one hundred twenty".