1627668345 has 32 divisors (see below), whose sum is σ = 2747289600. Its totient is φ = 820615104.

The previous prime is 1627668331. The next prime is 1627668373. The reversal of 1627668345 is 5438667261.

It is not a de Polignac number, because 1627668345 - 2⁸ = 1627668089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1627668294 and 1627668303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130554 + ... + 142476.

It is an arithmetic number, because the mean of its divisors is an integer number (85852800).

Almost surely, 2^1627668345 is an apocalyptic number.

1627668345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1627668345 is a deficient number, since it is larger than the sum of its proper divisors (1119621255).

1627668345 is a wasteful number, since it uses less digits than its factorization.

1627668345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429.

The product of its digits is 1451520, while the sum is 48.

The square root of 1627668345 is about 40344.3719123250. The cubic root of 1627668345 is about 1176.3104967938.

The spelling of 1627668345 in words is "one billion, six hundred twenty-seven million, six hundred sixty-eight thousand, three hundred forty-five".