85186080 has 288 divisors, whose sum is σ = 345631104. Its totient is φ = 19408896.

The previous prime is 85186051. The next prime is 85186093. The reversal of 85186080 is 8068158.

85186080 is a `hidden beast` number, since 8 + 518 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 272004 + ... + 272316.

It is an arithmetic number, because the mean of its divisors is an integer number (1200108).

Almost surely, 2^85186080 is an apocalyptic number.

85186080 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 85186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172815552).

85186080 is an abundant number, since it is smaller than the sum of its proper divisors (260445024).

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

85186080 is a wasteful number, since it uses less digits than its factorization.

85186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 85186080 is about 9229.6305451518. The cubic root of 85186080 is about 440.0035812381.

The spelling of 85186080 in words is "eighty-five million, one hundred eighty-six thousand, eighty".