12932640 has 144 divisors (see below), whose sum is σ = 50476608. Its totient is φ = 2953728.

The previous prime is 12932639. The next prime is 12932641. The reversal of 12932640 is 4623921.

12932640 is a `hidden beast` number, since 12 + 9 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (12932639) and next prime (12932641).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12932641) 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, 9439 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (350532).

Almost surely, 2^12932640 is an apocalyptic number.

12932640 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 12932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238304).

12932640 is an abundant number, since it is smaller than the sum of its proper divisors (37543968).

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

12932640 is a wasteful number, since it uses less digits than its factorization.

12932640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12932640 is about 3596.1979923247. The cubic root of 12932640 is about 234.7266476037.

The spelling of 12932640 in words is "twelve million, nine hundred thirty-two thousand, six hundred forty".