1604964024 has 128 divisors (see below), whose sum is σ = 4606156800. Its totient is φ = 517466880.

The previous prime is 1604963981. The next prime is 1604964043. The reversal of 1604964024 is 4204694061.

1604964024 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 9 + 640 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1604964024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123999 + ... + 1125425.

It is an arithmetic number, because the mean of its divisors is an integer number (35985600).

Almost surely, 2^1604964024 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 1604964024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

1604964024 is an abundant number, since it is smaller than the sum of its proper divisors (3001192776).

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

1604964024 is a wasteful number, since it uses less digits than its factorization.

1604964024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1604964024 is about 40062.0022465178. The cubic root of 1604964024 is about 1170.8154210482.

The spelling of 1604964024 in words is "one billion, six hundred four million, nine hundred sixty-four thousand, twenty-four".