1604187648 has 240 divisors, whose sum is σ = 5424715296. Its totient is φ = 446791680.

The previous prime is 1604187581. The next prime is 1604187661. The reversal of 1604187648 is 8467814061.

1604187648 is a `hidden beast` number, since 160 + 418 + 76 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321890 + ... + 1323102.

Almost surely, 2^1604187648 is an apocalyptic number.

1604187648 is a gapful number since it is divisible by the number (18) 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 1604187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712357648).

1604187648 is an abundant number, since it is smaller than the sum of its proper divisors (3820527648).

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

1604187648 is a wasteful number, since it uses less digits than its factorization.

1604187648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1604187648 is about 40052.3113939758. The cubic root of 1604187648 is about 1170.6266027757.

The spelling of 1604187648 in words is "one billion, six hundred four million, one hundred eighty-seven thousand, six hundred forty-eight".