12932766 has 144 divisors (see below), whose sum is σ = 37559808. Its totient is φ = 3175200.

The previous prime is 12932743. The next prime is 12932779. The reversal of 12932766 is 66723921.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12932766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300741 + ... + 300783.

It is an arithmetic number, because the mean of its divisors is an integer number (260832).

Almost surely, 2^12932766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12932766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779904).

12932766 is an abundant number, since it is smaller than the sum of its proper divisors (24627042).

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

12932766 is a wasteful number, since it uses less digits than its factorization.

12932766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12932766 is about 3596.2155107835. The cubic root of 12932766 is about 234.7274098987.

The spelling of 12932766 in words is "twelve million, nine hundred thirty-two thousand, seven hundred sixty-six".