86517480 has 128 divisors (see below), whose sum is σ = 299335680. Its totient is φ = 19595520.

The previous prime is 86517479. The next prime is 86517481. The reversal of 86517480 is 8471568.

It is an interprime number because it is at equal distance from previous prime (86517479) and next prime (86517481).

It is not an unprimeable number, because it can be changed into a prime (86517481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106275 + ... + 107085.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 2^86517480 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 86517480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149667840).

86517480 is an abundant number, since it is smaller than the sum of its proper divisors (212818200).

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

86517480 is a wasteful number, since it uses less digits than its factorization.

86517480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 86517480 is about 9301.4773020204. The cubic root of 86517480 is about 442.2840594692.

The spelling of 86517480 in words is "eighty-six million, five hundred seventeen thousand, four hundred eighty".