86542848 has 120 divisors (see below), whose sum is σ = 285556128. Its totient is φ = 24717312.

The previous prime is 86542847. The next prime is 86542861. The reversal of 86542848 is 84824568.

It is a super-2 number, since 2×86542848² = 14979329079902208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86542847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30915 + ... + 33597.

Almost surely, 2^86542848 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 86542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142778064).

86542848 is an abundant number, since it is smaller than the sum of its proper divisors (199013280).

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

86542848 is a wasteful number, since it uses less digits than its factorization.

86542848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2695 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 86542848 is about 9302.8408564266. The cubic root of 86542848 is about 442.3272829719.

The spelling of 86542848 in words is "eighty-six million, five hundred forty-two thousand, eight hundred forty-eight".