12649608 has 72 divisors (see below), whose sum is σ = 35722830. Its totient is φ = 4199040.

The previous prime is 12649601. The next prime is 12649613. The reversal of 12649608 is 80694621.

12649608 is a `hidden beast` number, since 1 + 2 + 6 + 49 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 3175524 = 3078^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12649608³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12649601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52368 + ... + 52608.

Almost surely, 2^12649608 is an apocalyptic number.

12649608 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 12649608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861415).

12649608 is an abundant number, since it is smaller than the sum of its proper divisors (23073222).

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

12649608 is an frugal number, since it uses more digits than its factorization.

12649608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12649608 is about 3556.6287408162. The cubic root of 12649608 is about 233.0016639225.

The spelling of 12649608 in words is "twelve million, six hundred forty-nine thousand, six hundred eight".