1604112520 has 64 divisors (see below), whose sum is σ = 3832790400. Its totient is φ = 602127360.

The previous prime is 1604112511. The next prime is 1604112527. The reversal of 1604112520 is 252114061.

It is a junction number, because it is equal to n+sod(n) for n = 1604112491 and 1604112500.

It is not an unprimeable number, because it can be changed into a prime (1604112527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240835 + ... + 247405.

It is an arithmetic number, because the mean of its divisors is an integer number (59887350).

Almost surely, 2^1604112520 is an apocalyptic number.

1604112520 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 1604112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916395200).

1604112520 is an abundant number, since it is smaller than the sum of its proper divisors (2228677880).

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

1604112520 is a wasteful number, since it uses less digits than its factorization.

1604112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1604112520 is about 40051.3735095315. The cubic root of 1604112520 is about 1170.6083280623.

Adding to 1604112520 its reverse (252114061), we get a palindrome (1856226581).

It can be divided in two parts, 16041 and 12520, that added together give a 4-th power (28561 = 13⁴).

The spelling of 1604112520 in words is "one billion, six hundred four million, one hundred twelve thousand, five hundred twenty".