86873160 has 192 divisors, whose sum is σ = 297239040. Its totient is φ = 20275200.

The previous prime is 86873159. The next prime is 86873173. The reversal of 86873160 is 6137868.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450024 + ... + 450216.

It is an arithmetic number, because the mean of its divisors is an integer number (1548120).

Almost surely, 2^86873160 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 86873160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148619520).

86873160 is an abundant number, since it is smaller than the sum of its proper divisors (210365880).

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

86873160 is a wasteful number, since it uses less digits than its factorization.

86873160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 86873160 is about 9320.5772353433. The cubic root of 86873160 is about 442.8893187067.

The spelling of 86873160 in words is "eighty-six million, eight hundred seventy-three thousand, one hundred sixty".