12728640 has 56 divisors (see below), whose sum is σ = 40416480. Its totient is φ = 3394048.

The previous prime is 12728609. The next prime is 12728657. The reversal of 12728640 is 4682721.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 12728598 and 12728607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5670 + ... + 7589.

Almost surely, 2^12728640 is an apocalyptic number.

12728640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728640 is an abundant number, since it is smaller than the sum of its proper divisors (27687840).

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

12728640 is a wasteful number, since it uses less digits than its factorization.

12728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12728640 is about 3567.7219622611. The cubic root of 12728640 is about 233.4859047504.

The spelling of 12728640 in words is "twelve million, seven hundred twenty-eight thousand, six hundred forty".