86498176 has 64 divisors (see below), whose sum is σ = 184481280. Its totient is φ = 40255488.

The previous prime is 86498143. The next prime is 86498177. The reversal of 86498176 is 67189468.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86498177) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 276196 + ... + 276508.

It is an arithmetic number, because the mean of its divisors is an integer number (2882520).

Almost surely, 2^86498176 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 86498176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92240640).

86498176 is an abundant number, since it is smaller than the sum of its proper divisors (97983104).

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

86498176 is a wasteful number, since it uses less digits than its factorization.

86498176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 86498176 is about 9300.4395595047. The cubic root of 86498176 is about 442.2511625080.

The spelling of 86498176 in words is "eighty-six million, four hundred ninety-eight thousand, one hundred seventy-six".