1604526560 has 288 divisors, whose sum is σ = 4814510400. Its totient is φ = 504870912.

The previous prime is 1604526557. The next prime is 1604526607. The reversal of 1604526560 is 656254061.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1604526560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9274634 + ... + 9274806.

It is an arithmetic number, because the mean of its divisors is an integer number (16717050).

Almost surely, 2^1604526560 is an apocalyptic number.

1604526560 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 1604526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407255200).

1604526560 is an abundant number, since it is smaller than the sum of its proper divisors (3209983840).

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

1604526560 is a wasteful number, since it uses less digits than its factorization.

1604526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 1604526560 is about 40056.5420374750. The cubic root of 1604526560 is about 1170.7090352492.

The spelling of 1604526560 in words is "one billion, six hundred four million, five hundred twenty-six thousand, five hundred sixty".