12730608 has 200 divisors, whose sum is σ = 43211520. Its totient is φ = 3576960.

The previous prime is 12730583. The next prime is 12730609. The reversal of 12730608 is 80603721.

12730608 is a `hidden beast` number, since 1 + 27 + 30 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270841 + ... + 270887.

Almost surely, 2^12730608 is an apocalyptic number.

12730608 is a gapful number since it is divisible by the number (18) 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 12730608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12730608 is an abundant number, since it is smaller than the sum of its proper divisors (30480912).

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

12730608 is a wasteful number, since it uses less digits than its factorization.

12730608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12730608 is about 3567.9977578468. The cubic root of 12730608 is about 233.4979373682.

The spelling of 12730608 in words is "twelve million, seven hundred thirty thousand, six hundred eight".