85156800 has 168 divisors, whose sum is σ = 283652976. Its totient is φ = 22364160.

The previous prime is 85156759. The next prime is 85156817. The reversal of 85156800 is 865158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542322 + ... + 542478.

Almost surely, 2^85156800 is an apocalyptic number.

85156800 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 85156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141826488).

85156800 is an abundant number, since it is smaller than the sum of its proper divisors (198496176).

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

85156800 is a wasteful number, since it uses less digits than its factorization.

85156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 85156800 is about 9228.0442131581. The cubic root of 85156800 is about 439.9531630586.

The spelling of 85156800 in words is "eighty-five million, one hundred fifty-six thousand, eight hundred".