86448000 has 128 divisors (see below), whose sum is σ = 286734240. Its totient is φ = 23040000.

The previous prime is 86447989. The next prime is 86448001. The reversal of 86448000 is 84468.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448001) 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 15 ways as a sum of consecutive naturals, for example, 47100 + ... + 48900.

Almost surely, 2^86448000 is an apocalyptic number.

86448000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143367120).

86448000 is an abundant number, since it is smaller than the sum of its proper divisors (200286240).

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

86448000 is a wasteful number, since it uses less digits than its factorization.

86448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86448000 is about 9297.7416612853. The cubic root of 86448000 is about 442.1656320475.

The spelling of 86448000 in words is "eighty-six million, four hundred forty-eight thousand".