1607985945 has 32 divisors (see below), whose sum is σ = 2869574400. Its totient is φ = 854312832.

The previous prime is 1607985931. The next prime is 1607985947. The reversal of 1607985945 is 5495897061.

It is not a de Polignac number, because 1607985945 - 2¹⁰ = 1607984921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1607985891 and 1607985900.

It is not an unprimeable number, because it can be changed into a prime (1607985947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12861 + ... + 58149.

It is an arithmetic number, because the mean of its divisors is an integer number (89674200).

Almost surely, 2^1607985945 is an apocalyptic number.

1607985945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1607985945 is a deficient number, since it is larger than the sum of its proper divisors (1261588455).

1607985945 is a wasteful number, since it uses less digits than its factorization.

1607985945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45566 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1607985945 is about 40099.7000612224. The cubic root of 1607985945 is about 1171.5497871329.

The spelling of 1607985945 in words is "one billion, six hundred seven million, nine hundred eighty-five thousand, nine hundred forty-five".