1608771840 has 432 divisors, whose sum is σ = 5799302208. Its totient is φ = 379551744.

The previous prime is 1608771833. The next prime is 1608771851. The reversal of 1608771840 is 481778061.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1608771792 and 1608771801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24011487 + ... + 24011553.

Almost surely, 2^1608771840 is an apocalyptic number.

1608771840 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 1608771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899651104).

1608771840 is an abundant number, since it is smaller than the sum of its proper divisors (4190530368).

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

1608771840 is a wasteful number, since it uses less digits than its factorization.

1608771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1608771840 is about 40109.4981270023. The cubic root of 1608771840 is about 1171.7406190584.

The spelling of 1608771840 in words is "one billion, six hundred eight million, seven hundred seventy-one thousand, eight hundred forty".