1604201616 has 120 divisors (see below), whose sum is σ = 4739860320. Its totient is φ = 505087488.

The previous prime is 1604201611. The next prime is 1604201623. The reversal of 1604201616 is 6161024061.

1604201616 is a `hidden beast` number, since 1 + 6 + 0 + 42 + 0 + 1 + 616 = 666.

1604201616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1604201616² = 5146925649554022912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1604201616.

It is not an unprimeable number, because it can be changed into a prime (1604201611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249711 + ... + 1250993.

It is an arithmetic number, because the mean of its divisors is an integer number (39498836).

Almost surely, 2^1604201616 is an apocalyptic number.

1604201616 is a gapful number since it is divisible by the number (16) 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 1604201616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369930160).

1604201616 is an abundant number, since it is smaller than the sum of its proper divisors (3135658704).

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

1604201616 is a wasteful number, since it uses less digits than its factorization.

1604201616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1604201616 is about 40052.4857655552. The cubic root of 1604201616 is about 1170.6300003967.

Adding to 1604201616 its reverse (6161024061), we get a palindrome (7765225677).

The spelling of 1604201616 in words is "one billion, six hundred four million, two hundred one thousand, six hundred sixteen".