1606604256 has 144 divisors (see below), whose sum is σ = 4678128000. Its totient is φ = 522872064.

The previous prime is 1606604203. The next prime is 1606604291. The reversal of 1606604256 is 6524066061.

It is a happy number.

1606604256 is a `hidden beast` number, since 1 + 606 + 6 + 0 + 42 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1606604256³ (a number of 29 digits) contains 333 as substring.

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 1606604256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2681845 + ... + 2682443.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 2^1606604256 is an apocalyptic number.

1606604256 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 1606604256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339064000).

1606604256 is an abundant number, since it is smaller than the sum of its proper divisors (3071523744).

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

1606604256 is a wasteful number, since it uses less digits than its factorization.

1606604256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1606604256 is about 40082.4681874757. The cubic root of 1606604256 is about 1171.2141330150.

The spelling of 1606604256 in words is "one billion, six hundred six million, six hundred four thousand, two hundred fifty-six".