1606840000 has 210 divisors, whose sum is σ = 4263057260. Its totient is φ = 600576000.

The previous prime is 1606839991. The next prime is 1606840031. The reversal of 1606840000 is 486061.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 29 ways as a sum of consecutive naturals, for example, 11559931 + ... + 11560069.

Almost surely, 2^1606840000 is an apocalyptic number.

1606840000 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 1606840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131528630).

1606840000 is an abundant number, since it is smaller than the sum of its proper divisors (2656217260).

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

1606840000 is an equidigital number, since it uses as much as digits as its factorization.

1606840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1606840000 is about 40085.4088166754. The cubic root of 1606840000 is about 1171.2714159872.

The spelling of 1606840000 in words is "one billion, six hundred six million, eight hundred forty thousand".