12702640 has 80 divisors (see below), whose sum is σ = 31828320. Its totient is φ = 4700160.

The previous prime is 12702631. The next prime is 12702649. The reversal of 12702640 is 4620721.

It is an interprime number because it is at equal distance from previous prime (12702631) and next prime (12702649).

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

It is a super-2 number, since 2×12702640² = 322714125939200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12702649) by changing a digit.

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, 92652 + ... + 92788.

It is an arithmetic number, because the mean of its divisors is an integer number (397854).

Almost surely, 2^12702640 is an apocalyptic number.

12702640 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 12702640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914160).

12702640 is an abundant number, since it is smaller than the sum of its proper divisors (19125680).

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

12702640 is a wasteful number, since it uses less digits than its factorization.

12702640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12702640 is about 3564.0763179259. The cubic root of 12702640 is about 233.3268206799.

The spelling of 12702640 in words is "twelve million, seven hundred two thousand, six hundred forty".