12924648 has 48 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 3916320.

The previous prime is 12924647. The next prime is 12924649. The reversal of 12924648 is 84642921.

12924648 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 4 + 648 = 666.

12924648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12924647) and next prime (12924649).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12924647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7368 + ... + 8951.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^12924648 is an apocalyptic number.

12924648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12924648 is an abundant number, since it is smaller than the sum of its proper divisors (25264152).

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

12924648 is a wasteful number, since it uses less digits than its factorization.

12924648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16342 (or 16335 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12924648 is about 3595.0866470782. The cubic root of 12924648 is about 234.6782861986.

The spelling of 12924648 in words is "twelve million, nine hundred twenty-four thousand, six hundred forty-eight".