12616380 has 288 divisors, whose sum is σ = 50319360. Its totient is φ = 2488320.

The previous prime is 12616339. The next prime is 12616427. The reversal of 12616380 is 8361621.

12616380 is a `hidden beast` number, since 1 + 26 + 1 + 638 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406965 + ... + 406995.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 2^12616380 is an apocalyptic number.

12616380 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 12616380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

12616380 is an abundant number, since it is smaller than the sum of its proper divisors (37702980).

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

12616380 is a wasteful number, since it uses less digits than its factorization.

12616380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12616380 is about 3551.9543915991. The cubic root of 12616380 is about 232.7974687081.

It can be divided in two parts, 12616 and 380, that added together give a square (12996 = 114²).

The spelling of 12616380 in words is "twelve million, six hundred sixteen thousand, three hundred eighty".