1604000000 has 126 divisors (see below), whose sum is σ = 4012097082. Its totient is φ = 640000000.

The previous prime is 1603999961. The next prime is 1604000023. The reversal of 1604000000 is 4061.

It can be written as a sum of positive squares in 7 ways, for example, as 1454964736 + 149035264 = 38144^2 + 12208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999800 + ... + 4000200.

Almost surely, 2^1604000000 is an apocalyptic number.

1604000000 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 1604000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006048541).

1604000000 is an abundant number, since it is smaller than the sum of its proper divisors (2408097082).

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

1604000000 is an frugal number, since it uses more digits than its factorization.

1604000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1604000000 is about 40049.9687890016. The cubic root of 1604000000 is about 1170.5809567636.

Adding to 1604000000 its reverse (4061), we get a palindrome (1604004061).

The spelling of 1604000000 in words is "one billion, six hundred four million", and thus it is an aban number.