1604016000 has 512 divisors, whose sum is σ = 6110208000. Its totient is φ = 413337600.

The previous prime is 1604015993. The next prime is 1604016019. The reversal of 1604016000 is 6104061.

1604016000 is a `hidden beast` number, since 1 + 60 + 4 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 20303961 + ... + 20304039.

It is an arithmetic number, because the mean of its divisors is an integer number (11934000).

Almost surely, 2^1604016000 is an apocalyptic number.

1604016000 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 1604016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055104000).

1604016000 is an abundant number, since it is smaller than the sum of its proper divisors (4506192000).

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

1604016000 is an equidigital number, since it uses as much as digits as its factorization.

1604016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1604016000 is about 40050.1685389712. The cubic root of 1604016000 is about 1170.5848489567.

The spelling of 1604016000 in words is "one billion, six hundred four million, sixteen thousand".