86338176 has 64 divisors (see below), whose sum is σ = 231009600. Its totient is φ = 28569600.

The previous prime is 86338163. The next prime is 86338183. The reversal of 86338176 is 67183368.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57240 + ... + 58728.

It is an arithmetic number, because the mean of its divisors is an integer number (3609525).

Almost surely, 2^86338176 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 86338176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115504800).

86338176 is an abundant number, since it is smaller than the sum of its proper divisors (144671424).

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

86338176 is a wasteful number, since it uses less digits than its factorization.

86338176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1645 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 86338176 is about 9291.8338340717. The cubic root of 86338176 is about 441.9783095080.

The spelling of 86338176 in words is "eighty-six million, three hundred thirty-eight thousand, one hundred seventy-six".