12983640 has 64 divisors (see below), whose sum is σ = 39195360. Its totient is φ = 3440640.

The previous prime is 12983623. The next prime is 12983657. The reversal of 12983640 is 4638921.

It is an interprime number because it is at equal distance from previous prime (12983623) and next prime (12983657).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30630 + ... + 31050.

Almost surely, 2^12983640 is an apocalyptic number.

12983640 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 12983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597680).

12983640 is an abundant number, since it is smaller than the sum of its proper divisors (26211720).

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

12983640 is a wasteful number, since it uses less digits than its factorization.

12983640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12983640 is about 3603.2818374365. The cubic root of 12983640 is about 235.0347918912.

The spelling of 12983640 in words is "twelve million, nine hundred eighty-three thousand, six hundred forty".