12611620 has 72 divisors (see below), whose sum is σ = 32663736. Its totient is φ = 4064256.

The previous prime is 12611617. The next prime is 12611623. The reversal of 12611620 is 2611621.

It is an interprime number because it is at equal distance from previous prime (12611617) and next prime (12611623).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 9400356 = 1792^2 + 3066^2 .

It is not an unprimeable number, because it can be changed into a prime (12611623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16282 + ... + 17038.

It is an arithmetic number, because the mean of its divisors is an integer number (453663).

Almost surely, 2^12611620 is an apocalyptic number.

12611620 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 12611620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331868).

12611620 is an abundant number, since it is smaller than the sum of its proper divisors (20052116).

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

12611620 is a wasteful number, since it uses less digits than its factorization.

12611620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12611620 is about 3551.2842747378. The cubic root of 12611620 is about 232.7681878489.

Subtracting from 12611620 its reverse (2611621), we obtain a palindrome (9999999).

It can be divided in two parts, 12611 and 620, that added together give a palindrome (13231).

The spelling of 12611620 in words is "twelve million, six hundred eleven thousand, six hundred twenty".