12960432 has 80 divisors (see below), whose sum is σ = 39184000. Its totient is φ = 4090176.

The previous prime is 12960407. The next prime is 12960457. The reversal of 12960432 is 23406921.

12960432 is a `hidden beast` number, since 1 + 29 + 604 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12960407) and next prime (12960457).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12960396 and 12960405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7419 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (489800).

Almost surely, 2^12960432 is an apocalyptic number.

12960432 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 12960432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592000).

12960432 is an abundant number, since it is smaller than the sum of its proper divisors (26223568).

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

12960432 is a wasteful number, since it uses less digits than its factorization.

12960432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1603 counting only the distinct ones).

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

The square root of 12960432 is about 3600.0599995000. The cubic root of 12960432 is about 234.8946683529.

The spelling of 12960432 in words is "twelve million, nine hundred sixty thousand, four hundred thirty-two".