1604047104 has 432 divisors, whose sum is σ = 5572271040. Its totient is φ = 451215360.

The previous prime is 1604047099. The next prime is 1604047111. The reversal of 1604047104 is 4017404061.

1604047104 is a `hidden beast` number, since 1 + 604 + 0 + 47 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×1604047104³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 21973212 + ... + 21973284.

Almost surely, 2^1604047104 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 1604047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786135520).

1604047104 is an abundant number, since it is smaller than the sum of its proper divisors (3968223936).

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

1604047104 is a wasteful number, since it uses less digits than its factorization.

1604047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1604047104 is about 40050.5568500614. The cubic root of 1604047104 is about 1170.5924153059.

The spelling of 1604047104 in words is "one billion, six hundred four million, forty-seven thousand, one hundred four".