1604415936 has 224 divisors, whose sum is σ = 4854366720. Its totient is φ = 464486400.

The previous prime is 1604415931. The next prime is 1604415971. The reversal of 1604415936 is 6395144061.

It is a junction number, because it is equal to n+sod(n) for n = 1604415894 and 1604415903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604415931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542341 + ... + 2542971.

It is an arithmetic number, because the mean of its divisors is an integer number (21671280).

Almost surely, 2^1604415936 is an apocalyptic number.

1604415936 is a gapful number since it is divisible by the number (16) 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 1604415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427183360).

1604415936 is an abundant number, since it is smaller than the sum of its proper divisors (3249950784).

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

1604415936 is a wasteful number, since it uses less digits than its factorization.

1604415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1604415936 is about 40055.1611655727. The cubic root of 1604415936 is about 1170.6821298064.

Adding to 1604415936 its reverse (6395144061), we get a palindrome (7999559997).

The spelling of 1604415936 in words is "one billion, six hundred four million, four hundred fifteen thousand, nine hundred thirty-six".