86173056 has 192 divisors, whose sum is σ = 271564800. Its totient is φ = 26127360.

The previous prime is 86173049. The next prime is 86173057. The reversal of 86173056 is 65037168.

86173056 is a `hidden beast` number, since 8 + 617 + 30 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86173056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86173057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678465 + ... + 678591.

It is an arithmetic number, because the mean of its divisors is an integer number (1414400).

Almost surely, 2^86173056 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 86173056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135782400).

86173056 is an abundant number, since it is smaller than the sum of its proper divisors (185391744).

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

86173056 is a wasteful number, since it uses less digits than its factorization.

86173056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 86173056 is about 9282.9443604925. The cubic root of 86173056 is about 441.6963715316.

The spelling of 86173056 in words is "eighty-six million, one hundred seventy-three thousand, fifty-six".