12608640 has 192 divisors, whose sum is σ = 47736000. Its totient is φ = 3041280.

The previous prime is 12608627. The next prime is 12608671. The reversal of 12608640 is 4680621.

12608640 is a `hidden beast` number, since 12 + 6 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 63261 + ... + 63459.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^12608640 is an apocalyptic number.

12608640 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 12608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868000).

12608640 is an abundant number, since it is smaller than the sum of its proper divisors (35127360).

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

12608640 is a wasteful number, since it uses less digits than its factorization.

12608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12608640 is about 3550.8646834257. The cubic root of 12608640 is about 232.7498528044.

The spelling of 12608640 in words is "twelve million, six hundred eight thousand, six hundred forty".