1604075904 has 96 divisors (see below), whose sum is σ = 4764901440. Its totient is φ = 517432320.

The previous prime is 1604075903. The next prime is 1604075929. The reversal of 1604075904 is 4095704061.

1604075904 is a `hidden beast` number, since 1 + 60 + 4 + 0 + 7 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604075903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13254 + ... + 58170.

It is an arithmetic number, because the mean of its divisors is an integer number (49634390).

Almost surely, 2^1604075904 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 1604075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382450720).

1604075904 is an abundant number, since it is smaller than the sum of its proper divisors (3160825536).

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

1604075904 is a wasteful number, since it uses less digits than its factorization.

1604075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44968 (or 44953 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1604075904 is about 40050.9163940103. The cubic root of 1604075904 is about 1170.5994210977.

Adding to 1604075904 its reverse (4095704061), we get a palindrome (5699779965).

The spelling of 1604075904 in words is "one billion, six hundred four million, seventy-five thousand, nine hundred four".