1606855536 has 480 divisors, whose sum is σ = 5862124800. Its totient is φ = 414305280.

The previous prime is 1606855531. The next prime is 1606855541. The reversal of 1606855536 is 6355586061.

1606855536 is a `hidden beast` number, since 1 + 6 + 0 + 68 + 55 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (1606855531) and next prime (1606855541).

It is a junction number, because it is equal to n+sod(n) for n = 1606855491 and 1606855500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606855531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43428510 + ... + 43428546.

It is an arithmetic number, because the mean of its divisors is an integer number (12212760).

Almost surely, 2^1606855536 is an apocalyptic number.

1606855536 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 1606855536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931062400).

1606855536 is an abundant number, since it is smaller than the sum of its proper divisors (4255269264).

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

1606855536 is a wasteful number, since it uses less digits than its factorization.

1606855536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 1606855536 is about 40085.6026024307. The cubic root of 1606855536 is about 1171.2751908526.

The spelling of 1606855536 in words is "one billion, six hundred six million, eight hundred fifty-five thousand, five hundred thirty-six".