12933648 has 240 divisors, whose sum is σ = 47496960. Its totient is φ = 3338496.

The previous prime is 12933637. The next prime is 12933671. The reversal of 12933648 is 84633921.

12933648 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 3 + 648 = 666.

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.

Its product of digits (31104) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275161 + ... + 275207.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^12933648 is an apocalyptic number.

12933648 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 12933648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

12933648 is an abundant number, since it is smaller than the sum of its proper divisors (34563312).

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

12933648 is a wasteful number, since it uses less digits than its factorization.

12933648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12933648 is about 3596.3381376061. The cubic root of 12933648 is about 234.7327458253.

The spelling of 12933648 in words is "twelve million, nine hundred thirty-three thousand, six hundred forty-eight".