12618810 has 48 divisors (see below), whose sum is σ = 33064200. Its totient is φ = 3338880.

The previous prime is 12618803. The next prime is 12618817. The reversal of 12618810 is 1881621.

It is an interprime number because it is at equal distance from previous prime (12618803) and next prime (12618817).

It can be written as a sum of positive squares in 4 ways, for example, as 8346321 + 4272489 = 2889^2 + 2067^2 .

It is a super-2 number, since 2×12618810² = 318468731632200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12618817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12940 + ... + 13880.

Almost surely, 2^12618810 is an apocalyptic number.

12618810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12618810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532100).

12618810 is an abundant number, since it is smaller than the sum of its proper divisors (20445390).

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

12618810 is a wasteful number, since it uses less digits than its factorization.

12618810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12618810 is about 3552.2964403326. The cubic root of 12618810 is about 232.8124138702.

The spelling of 12618810 in words is "twelve million, six hundred eighteen thousand, eight hundred ten".