6085020800 has 96 divisors (see below), whose sum is σ = 15916274820. Its totient is φ = 2290810880.

The previous prime is 6085020791. The next prime is 6085020857. The reversal of 6085020800 is 80205806.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1704698944 + 4380321856 = 41288^2 + 66184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1529 + ... + 110328.

Almost surely, 2^6085020800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6085020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958137410).

6085020800 is an abundant number, since it is smaller than the sum of its proper divisors (9831254020).

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

6085020800 is a wasteful number, since it uses less digits than its factorization.

6085020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111898 (or 111881 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 6085020800 is about 78006.5433152886. The cubic root of 6085020800 is about 1825.6633155215.

The spelling of 6085020800 in words is "six billion, eighty-five million, twenty thousand, eight hundred".