1604187264 has 128 divisors (see below), whose sum is σ = 4374820800. Its totient is φ = 520667136.

The previous prime is 1604187259. The next prime is 1604187301. The reversal of 1604187264 is 4627814061.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2494527 + ... + 2495169.

Almost surely, 2^1604187264 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 1604187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187410400).

1604187264 is an abundant number, since it is smaller than the sum of its proper divisors (2770633536).

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

1604187264 is an equidigital number, since it uses as much as digits as its factorization.

1604187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1604187264 is about 40052.3066002446. The cubic root of 1604187264 is about 1170.6265093700.

The spelling of 1604187264 in words is "one billion, six hundred four million, one hundred eighty-seven thousand, two hundred sixty-four".