1606116000 has 96 divisors (see below), whose sum is σ = 5261675328. Its totient is φ = 428294400.

The previous prime is 1606115969. The next prime is 1606116011. The reversal of 1606116000 is 6116061.

It is a tau number, because it is divible by the number of its divisors (96).

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, 54922 + ... + 78921.

It is an arithmetic number, because the mean of its divisors is an integer number (54809118).

Almost surely, 2^1606116000 is an apocalyptic number.

1606116000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1606116000 is an abundant number, since it is smaller than the sum of its proper divisors (3655559328).

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

1606116000 is a wasteful number, since it uses less digits than its factorization.

1606116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133871 (or 133853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1606116000 is about 40076.3770817673. The cubic root of 1606116000 is about 1171.0954748233.

The spelling of 1606116000 in words is "one billion, six hundred six million, one hundred sixteen thousand".