6085161600 has 384 divisors, whose sum is σ = 23203514880. Its totient is φ = 1372876800.

The previous prime is 6085161547. The next prime is 6085161601. The reversal of 6085161600 is 61615806.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6085161600² = 74058383396229120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6085161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5577055 + ... + 5578145.

It is an arithmetic number, because the mean of its divisors is an integer number (60425820).

Almost surely, 2^6085161600 is an apocalyptic number.

6085161600 is a gapful number since it is divisible by the number (60) 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 6085161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601757440).

6085161600 is an abundant number, since it is smaller than the sum of its proper divisors (17118353280).

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

6085161600 is a wasteful number, since it uses less digits than its factorization.

6085161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 6085161600 is about 78007.4457984621. The cubic root of 6085161600 is about 1825.6773966244.

The spelling of 6085161600 in words is "six billion, eighty-five million, one hundred sixty-one thousand, six hundred".