12648240 has 120 divisors (see below), whose sum is σ = 46367568. Its totient is φ = 3064320.

The previous prime is 12648239. The next prime is 12648247. The reversal of 12648240 is 4284621.

12648240 = T₁₆₁ + T₁₆₂ + ... + T₄₃₀.

12648240 is a `hidden beast` number, since 12 + 648 + 2 + 4 + 0 = 666.

12648240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12648247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7122 + ... + 8718.

Almost surely, 2^12648240 is an apocalyptic number.

12648240 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 12648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183784).

12648240 is an abundant number, since it is smaller than the sum of its proper divisors (33719328).

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

12648240 is a wasteful number, since it uses less digits than its factorization.

12648240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12648240 is about 3556.4364186641. The cubic root of 12648240 is about 232.9932642480.

The spelling of 12648240 in words is "twelve million, six hundred forty-eight thousand, two hundred forty".