1609990200 has 288 divisors, whose sum is σ = 6655303200. Its totient is φ = 339655680.

The previous prime is 1609990111. The next prime is 1609990223. The reversal of 1609990200 is 20999061.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158886 + ... + 168714.

Almost surely, 2^1609990200 is an apocalyptic number.

1609990200 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 1609990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327651600).

1609990200 is an abundant number, since it is smaller than the sum of its proper divisors (5045313000).

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

1609990200 is a wasteful number, since it uses less digits than its factorization.

1609990200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9871 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1609990200 is about 40124.6831763193. The cubic root of 1609990200 is about 1172.0363398129.

The spelling of 1609990200 in words is "one billion, six hundred nine million, nine hundred ninety thousand, two hundred".