1607166120 has 64 divisors (see below), whose sum is σ = 5510286720. Its totient is φ = 367352064.

The previous prime is 1607166103. The next prime is 1607166133. The reversal of 1607166120 is 216617061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955807 + ... + 957486.

It is an arithmetic number, because the mean of its divisors is an integer number (86098230).

Almost surely, 2^1607166120 is an apocalyptic number.

1607166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607166120 is an abundant number, since it is smaller than the sum of its proper divisors (3903120600).

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

1607166120 is a wasteful number, since it uses less digits than its factorization.

1607166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913314 (or 1913310 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1607166120 is about 40089.4764246180. The cubic root of 1607166120 is about 1171.3506500108.

The spelling of 1607166120 in words is "one billion, six hundred seven million, one hundred sixty-six thousand, one hundred twenty".