85050000 has 360 divisors, whose sum is σ = 352602432. Its totient is φ = 19440000.

The previous prime is 85049971. The next prime is 85050083. The reversal of 85050000 is 5058.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12149997 + ... + 12150003.

Almost surely, 2^85050000 is an apocalyptic number.

85050000 is a gapful number since it is divisible by the number (80) 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 85050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

85050000 is an abundant number, since it is smaller than the sum of its proper divisors (267552432).

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

85050000 is an frugal number, since it uses more digits than its factorization.

85050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 85050000 is about 9222.2556893636. The cubic root of 85050000 is about 439.7691626635.

Adding to 85050000 its reverse (5058), we get a palindrome (85055058).

The spelling of 85050000 in words is "eighty-five million, fifty thousand".