85163616 has 96 divisors (see below), whose sum is σ = 250034400. Its totient is φ = 28200960.

The previous prime is 85163599. The next prime is 85163621. The reversal of 85163616 is 61636158.

It is a happy number.

85163616 is a `hidden beast` number, since 8 + 5 + 1 + 636 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208020 + ... + 208428.

It is an arithmetic number, because the mean of its divisors is an integer number (2604525).

Almost surely, 2^85163616 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 85163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125017200).

85163616 is an abundant number, since it is smaller than the sum of its proper divisors (164870784).

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

85163616 is a wasteful number, since it uses less digits than its factorization.

85163616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 85163616 is about 9228.4135147922. The cubic root of 85163616 is about 439.9649007814.

The spelling of 85163616 in words is "eighty-five million, one hundred sixty-three thousand, six hundred sixteen".