85168512 has 288 divisors, whose sum is σ = 296281440. Its totient is φ = 23316480.

The previous prime is 85168511. The next prime is 85168513. The reversal of 85168512 is 21586158.

85168512 is a `hidden beast` number, since 85 + 1 + 68 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (85168511) and next prime (85168513).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85168511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1812073 + ... + 1812119.

It is an arithmetic number, because the mean of its divisors is an integer number (1028755).

Almost surely, 2^85168512 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 85168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140720).

85168512 is an abundant number, since it is smaller than the sum of its proper divisors (211112928).

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

85168512 is a wasteful number, since it uses less digits than its factorization.

85168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 85168512 is about 9228.6787786768. The cubic root of 85168512 is about 439.9733317170.

The spelling of 85168512 in words is "eighty-five million, one hundred sixty-eight thousand, five hundred twelve".