1307628 has 36 divisors (see below), whose sum is σ = 3778320. Its totient is φ = 373536.

The previous prime is 1307627. The next prime is 1307633. The reversal of 1307628 is 8267031.

1307628 is a `hidden beast` number, since 1 + 30 + 7 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1307627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2343 + ... + 2846.

2^1307628 is an apocalyptic number.

1307628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1307628 is an abundant number, since it is smaller than the sum of its proper divisors (2470692).

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

1307628 is a wasteful number, since it uses less digits than its factorization.

1307628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1307628 is about 1143.5156317253. The cubic root of 1307628 is about 109.3523373999.

The spelling of 1307628 in words is "one million, three hundred seven thousand, six hundred twenty-eight".