1609850880 has 336 divisors, whose sum is σ = 6103126224. Its totient is φ = 389283840.

The previous prime is 1609850873. The next prime is 1609850881. The reversal of 1609850880 is 880589061.

1609850880 is a `hidden beast` number, since 1 + 60 + 9 + 8 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609850881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4054842 + ... + 4055238.

Almost surely, 2^1609850880 is an apocalyptic number.

1609850880 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 1609850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051563112).

1609850880 is an abundant number, since it is smaller than the sum of its proper divisors (4493275344).

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

1609850880 is a wasteful number, since it uses less digits than its factorization.

1609850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1609850880 is about 40122.9470502853. The cubic root of 1609850880 is about 1172.0025315713.

The spelling of 1609850880 in words is "one billion, six hundred nine million, eight hundred fifty thousand, eight hundred eighty".