1606341600 has 108 divisors (see below), whose sum is σ = 5664387456. Its totient is φ = 428355840.

The previous prime is 1606341599. The next prime is 1606341617. The reversal of 1606341600 is 61436061.

1606341600 is a `hidden beast` number, since 16 + 0 + 6 + 3 + 41 + 600 = 666.

It is a super-3 number, since 3×1606341600³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104352 + ... + 118751.

It is an arithmetic number, because the mean of its divisors is an integer number (52448032).

Almost surely, 2^1606341600 is an apocalyptic number.

1606341600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1606341600 is an abundant number, since it is smaller than the sum of its proper divisors (4058045856).

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

1606341600 is a wasteful number, since it uses less digits than its factorization.

1606341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223129 (or 223113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1606341600 is about 40079.1916086141. The cubic root of 1606341600 is about 1171.1503041486.

Adding to 1606341600 its reverse (61436061), we get a palindrome (1667777661).

It can be divided in two parts, 1606 and 341600, that added together give a triangular number (343206 = T₈₂₈).

The spelling of 1606341600 in words is "one billion, six hundred six million, three hundred forty-one thousand, six hundred".