1604075520 has 240 divisors, whose sum is σ = 5265787968. Its totient is φ = 416808960.

The previous prime is 1604075497. The next prime is 1604075527. The reversal of 1604075520 is 255704061.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604075527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14991307 + ... + 14991413.

Almost surely, 2^1604075520 is an apocalyptic number.

1604075520 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 1604075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632893984).

1604075520 is an abundant number, since it is smaller than the sum of its proper divisors (3661712448).

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

1604075520 is an equidigital number, since it uses as much as digits as its factorization.

1604075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1604075520 is about 40050.9116001122. The cubic root of 1604075520 is about 1170.5993276877.

Adding to 1604075520 its reverse (255704061), we get a palindrome (1859779581).

The spelling of 1604075520 in words is "one billion, six hundred four million, seventy-five thousand, five hundred twenty".