12717840 has 80 divisors (see below), whose sum is σ = 41515200. Its totient is φ = 3211776.

The previous prime is 12717823. The next prime is 12717857. The reversal of 12717840 is 4871721.

It is an interprime number because it is at equal distance from previous prime (12717823) and next prime (12717857).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12717798 and 12717807.

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, 3166 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (518940).

Almost surely, 2^12717840 is an apocalyptic number.

12717840 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 12717840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

12717840 is an abundant number, since it is smaller than the sum of its proper divisors (28797360).

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

12717840 is a wasteful number, since it uses less digits than its factorization.

12717840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 12717840 is about 3566.2080702057. The cubic root of 12717840 is about 233.4198500031.

The spelling of 12717840 in words is "twelve million, seven hundred seventeen thousand, eight hundred forty".