1608139008 has 252 divisors, whose sum is σ = 5504802688. Its totient is φ = 459095040.

The previous prime is 1608138991. The next prime is 1608139019. The reversal of 1608139008 is 8009318061.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1608139008² = 5172222138102448128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 27 ways as a sum of consecutive naturals, for example, 1305753 + ... + 1306983.

Almost surely, 2^1608139008 is an apocalyptic number.

1608139008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752401344).

1608139008 is an abundant number, since it is smaller than the sum of its proper divisors (3896663680).

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

1608139008 is an frugal number, since it uses more digits than its factorization.

1608139008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1608139008 is about 40101.6085462915. The cubic root of 1608139008 is about 1171.5869589411.

The spelling of 1608139008 in words is "one billion, six hundred eight million, one hundred thirty-nine thousand, eight".