1609955604 has 72 divisors (see below), whose sum is σ = 4177293120. Its totient is φ = 522531072.

The previous prime is 1609955603. The next prime is 1609955609. The reversal of 1609955604 is 4065599061.

It is a happy number.

1609955604 is a `hidden beast` number, since 1 + 6 + 0 + 99 + 556 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1609955604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609955603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554284 + ... + 557180.

It is an arithmetic number, because the mean of its divisors is an integer number (58017960).

Almost surely, 2^1609955604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609955604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088646560).

1609955604 is an abundant number, since it is smaller than the sum of its proper divisors (2567337516).

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

1609955604 is a wasteful number, since it uses less digits than its factorization.

1609955604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1609955604 is about 40124.2520677956. The cubic root of 1609955604 is about 1172.0279447184.

The spelling of 1609955604 in words is "one billion, six hundred nine million, nine hundred fifty-five thousand, six hundred four".