86448060 has 240 divisors, whose sum is σ = 297845856. Its totient is φ = 20901888.

The previous prime is 86448059. The next prime is 86448067. The reversal of 86448060 is 6084468.

86448060 is a `hidden beast` number, since 8 + 644 + 8 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448067) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1184184 + ... + 1184256.

Almost surely, 2^86448060 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 86448060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148922928).

86448060 is an abundant number, since it is smaller than the sum of its proper divisors (211397796).

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

86448060 is a wasteful number, since it uses less digits than its factorization.

86448060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86448060 is about 9297.7448878747. The cubic root of 86448060 is about 442.1657343438.

The spelling of 86448060 in words is "eighty-six million, four hundred forty-eight thousand, sixty".