12914832 has 180 divisors, whose sum is σ = 43397520. Its totient is φ = 3290112.

The previous prime is 12914827. The next prime is 12914833. The reversal of 12914832 is 23841921.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (3456) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12914832.

It is not an unprimeable number, because it can be changed into a prime (12914833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679719 + ... + 679737.

Almost surely, 2^12914832 is an apocalyptic number.

12914832 is a gapful number since it is divisible by the number (12) 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 12914832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21698760).

12914832 is an abundant number, since it is smaller than the sum of its proper divisors (30482688).

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

12914832 is a wasteful number, since it uses less digits than its factorization.

12914832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 12914832 is about 3593.7211911889. The cubic root of 12914832 is about 234.6188600675.

The spelling of 12914832 in words is "twelve million, nine hundred fourteen thousand, eight hundred thirty-two".