86485504 has 80 divisors (see below), whose sum is σ = 201326400. Its totient is φ = 36347904.

The previous prime is 86485493. The next prime is 86485519. The reversal of 86485504 is 40558468.

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, 211252 + ... + 211660.

It is an arithmetic number, because the mean of its divisors is an integer number (2516580).

Almost surely, 2^86485504 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 86485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663200).

86485504 is an abundant number, since it is smaller than the sum of its proper divisors (114840896).

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

86485504 is an equidigital number, since it uses as much as digits as its factorization.

86485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 86485504 is about 9299.7582764285. The cubic root of 86485504 is about 442.2295648255.

It can be divided in two parts, 864 and 85504, that added together give a palindrome (86368).

The spelling of 86485504 in words is "eighty-six million, four hundred eighty-five thousand, five hundred four".