86430848 has 64 divisors (see below), whose sum is σ = 207182400. Its totient is φ = 35085312.

The previous prime is 86430847. The next prime is 86430857. The reversal of 86430848 is 84803468.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86430847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14486 + ... + 19562.

It is an arithmetic number, because the mean of its divisors is an integer number (3237225).

Almost surely, 2^86430848 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 86430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103591200).

86430848 is an abundant number, since it is smaller than the sum of its proper divisors (120751552).

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

86430848 is a wasteful number, since it uses less digits than its factorization.

86430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 86430848 is about 9296.8192410093. The cubic root of 86430848 is about 442.1363870041.

It can be divided in two parts, 86430 and 848, that added together give a palindrome (87278).

The spelling of 86430848 in words is "eighty-six million, four hundred thirty thousand, eight hundred forty-eight".