86448384 has 180 divisors, whose sum is σ = 281949360. Its totient is φ = 26127360.

The previous prime is 86448371. The next prime is 86448389. The reversal of 86448384 is 48384468.

86448384 = T₃₀₆ + T₃₀₇ + ... + T₈₁₇.

It is a super-2 number, since 2×86448384² = 14946646192422912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86448389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227907 + ... + 228285.

Almost surely, 2^86448384 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 86448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140974680).

86448384 is an abundant number, since it is smaller than the sum of its proper divisors (195500976).

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

86448384 is a wasteful number, since it uses less digits than its factorization.

86448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 86448384 is about 9297.7623114382. The cubic root of 86448384 is about 442.1662867430.

The spelling of 86448384 in words is "eighty-six million, four hundred forty-eight thousand, three hundred eighty-four".