12610000 has 100 divisors (see below), whose sum is σ = 33217492. Its totient is φ = 4608000.

The previous prime is 12609997. The next prime is 12610027. The reversal of 12610000 is 1621.

It can be written as a sum of positive squares in 10 ways, for example, as 11641744 + 968256 = 3412^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129952 + ... + 130048.

Almost surely, 2^12610000 is an apocalyptic number.

12610000 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 12610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608746).

12610000 is an abundant number, since it is smaller than the sum of its proper divisors (20607492).

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

12610000 is an equidigital number, since it uses as much as digits as its factorization.

12610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12610000 is about 3551.0561809129. The cubic root of 12610000 is about 232.7582208340.

Adding to 12610000 its reverse (1621), we get a palindrome (12611621).

The spelling of 12610000 in words is "twelve million, six hundred ten thousand".