1606136000 has 448 divisors, whose sum is σ = 5021153280. Its totient is φ = 496742400.

The previous prime is 1606135981. The next prime is 1606136011. The reversal of 1606136000 is 6316061.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (23).

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 63 ways as a sum of consecutive naturals, for example, 37351979 + ... + 37352021.

Almost surely, 2^1606136000 is an apocalyptic number.

1606136000 is a gapful number since it is divisible by the number (10) 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 1606136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510576640).

1606136000 is an abundant number, since it is smaller than the sum of its proper divisors (3415017280).

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

1606136000 is a wasteful number, since it uses less digits than its factorization.

1606136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1606136000 is about 40076.6266045435. The cubic root of 1606136000 is about 1171.1003357865.

The spelling of 1606136000 in words is "one billion, six hundred six million, one hundred thirty-six thousand".