1609916100 has 144 divisors (see below), whose sum is σ = 5032386240. Its totient is φ = 395020800.

The previous prime is 1609916093. The next prime is 1609916101. The reversal of 1609916100 is 16199061.

It is not an unprimeable number, because it can be changed into a prime (1609916101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984695 + ... + 1985505.

Almost surely, 2^1609916100 is an apocalyptic number.

1609916100 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 1609916100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516193120).

1609916100 is an abundant number, since it is smaller than the sum of its proper divisors (3422470140).

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

1609916100 is a wasteful number, since it uses less digits than its factorization.

1609916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 1609916100 is about 40123.7597939176. The cubic root of 1609916100 is about 1172.0183584974.

The spelling of 1609916100 in words is "one billion, six hundred nine million, nine hundred sixteen thousand, one hundred".