85455000 has 200 divisors, whose sum is σ = 300513180. Its totient is φ = 22680000.

The previous prime is 85454981. The next prime is 85455023. The reversal of 85455000 is 55458.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 404895 + ... + 405105.

Almost surely, 2^85455000 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 85455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150256590).

85455000 is an abundant number, since it is smaller than the sum of its proper divisors (215058180).

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

85455000 is a wasteful number, since it uses less digits than its factorization.

85455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 85455000 is about 9244.1873628784. The cubic root of 85455000 is about 440.4661038654.

The spelling of 85455000 in words is "eighty-five million, four hundred fifty-five thousand".