12610080 has 240 divisors, whose sum is σ = 51226560. Its totient is φ = 2861568.

The previous prime is 12610079. The next prime is 12610109. The reversal of 12610080 is 8001621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 90651 + ... + 90789.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^12610080 is an apocalyptic number.

12610080 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 12610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

12610080 is an abundant number, since it is smaller than the sum of its proper divisors (38616480).

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

12610080 is a wasteful number, since it uses less digits than its factorization.

12610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12610080 is about 3551.0674451494. The cubic root of 12610080 is about 232.7587130523.

The spelling of 12610080 in words is "twelve million, six hundred ten thousand, eighty".