85056000 has 160 divisors (see below), whose sum is σ = 283428288. Its totient is φ = 22630400.

The previous prime is 85055953. The next prime is 85056029. The reversal of 85056000 is 65058.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191779 + ... + 192221.

Almost surely, 2^85056000 is an apocalyptic number.

85056000 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 85056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141714144).

85056000 is an abundant number, since it is smaller than the sum of its proper divisors (198372288).

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

85056000 is an equidigital number, since it uses as much as digits as its factorization.

85056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85056000 is about 9222.5809836509. The cubic root of 85056000 is about 439.7795038468.

The spelling of 85056000 in words is "eighty-five million, fifty-six thousand".