1604193984 has 280 divisors, whose sum is σ = 5111678880. Its totient is φ = 495673344.

The previous prime is 1604193979. The next prime is 1604194019. The reversal of 1604193984 is 4893914061.

1604193984 is a `hidden beast` number, since 1 + 604 + 1 + 9 + 39 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9605869 + ... + 9606035.

It is an arithmetic number, because the mean of its divisors is an integer number (18255996).

Almost surely, 2^1604193984 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 1604193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555839440).

1604193984 is an abundant number, since it is smaller than the sum of its proper divisors (3507484896).

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

1604193984 is a wasteful number, since it uses less digits than its factorization.

1604193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1604193984 is about 40052.3904904564. The cubic root of 1604193984 is about 1170.6281439671.

The spelling of 1604193984 in words is "one billion, six hundred four million, one hundred ninety-three thousand, nine hundred eighty-four".