12746628 has 18 divisors (see below), whose sum is σ = 32220734. Its totient is φ = 4248864.

The previous prime is 12746599. The next prime is 12746633. The reversal of 12746628 is 82664721.

12746628 is a `hidden beast` number, since 1 + 27 + 4 + 6 + 628 = 666.

12746628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7354944 + 5391684 = 2712^2 + 2322^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 354073 = 12746628 / (1 + 2 + 7 + 4 + 6 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 12746592 and 12746601.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177001 + ... + 177072.

Almost surely, 2^12746628 is an apocalyptic number.

12746628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12746628 is an abundant number, since it is smaller than the sum of its proper divisors (19474106).

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

12746628 is a wasteful number, since it uses less digits than its factorization.

12746628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354083 (or 354078 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12746628 is about 3570.2420086039. The cubic root of 12746628 is about 233.5958397098.

The spelling of 12746628 in words is "twelve million, seven hundred forty-six thousand, six hundred twenty-eight".