12649104 has 120 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 3741696.

The previous prime is 12649067. The next prime is 12649111. The reversal of 12649104 is 40194621.

12649104 is a `hidden beast` number, since 1 + 2 + 649 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32400 + 12616704 = 180^2 + 3552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54172 + ... + 54404.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^12649104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12649104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

12649104 is an abundant number, since it is smaller than the sum of its proper divisors (26957736).

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

12649104 is a wasteful number, since it uses less digits than its factorization.

12649104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

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

The square root of 12649104 is about 3556.5578864964. The cubic root of 12649104 is about 232.9985693761.

The spelling of 12649104 in words is "twelve million, six hundred forty-nine thousand, one hundred four".