86053176 has 96 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 25888320.

The previous prime is 86053171. The next prime is 86053267. The reversal of 86053176 is 67135068.

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 86053176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86053171) 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, 141465 + ... + 142071.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2^86053176 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 86053176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

86053176 is an abundant number, since it is smaller than the sum of its proper divisors (170036424).

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

86053176 is a wasteful number, since it uses less digits than its factorization.

86053176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

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

The square root of 86053176 is about 9276.4851102128. The cubic root of 86053176 is about 441.4914539058.

It can be divided in two parts, 8605 and 3176, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 86053176 in words is "eighty-six million, fifty-three thousand, one hundred seventy-six".