1613167008 has 96 divisors (see below), whose sum is σ = 4468867200. Its totient is φ = 508502016.

The previous prime is 1613166991. The next prime is 1613167019. The reversal of 1613167008 is 8007613161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1613167008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192408 + ... + 200616.

It is an arithmetic number, because the mean of its divisors is an integer number (46550700).

Almost surely, 2^1613167008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613167008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234433600).

1613167008 is an abundant number, since it is smaller than the sum of its proper divisors (2855700192).

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

1613167008 is a wasteful number, since it uses less digits than its factorization.

1613167008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1613167008 is about 40164.2503726884. The cubic root of 1613167008 is about 1172.8067147215.

The spelling of 1613167008 in words is "one billion, six hundred thirteen million, one hundred sixty-seven thousand, eight".