85181328 has 80 divisors (see below), whose sum is σ = 255162240. Its totient is φ = 27156096.

The previous prime is 85181297. The next prime is 85181329. The reversal of 85181328 is 82318158.

85181328 is a `hidden beast` number, since 8 + 518 + 132 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85181292 and 85181301.

It is not an unprimeable number, because it can be changed into a prime (85181329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5650 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (3189528).

Almost surely, 2^85181328 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 85181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127581120).

85181328 is an abundant number, since it is smaller than the sum of its proper divisors (169980912).

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

85181328 is a wasteful number, since it uses less digits than its factorization.

85181328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8601 counting only the distinct ones).

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

The square root of 85181328 is about 9229.3731098055. The cubic root of 85181328 is about 439.9953994009.

The spelling of 85181328 in words is "eighty-five million, one hundred eighty-one thousand, three hundred twenty-eight".