86574144 has 56 divisors (see below), whose sum is σ = 230254048. Its totient is φ = 28707840.

The previous prime is 86574121. The next prime is 86574151. The reversal of 86574144 is 44147568.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39444 + ... + 41580.

Almost surely, 2^86574144 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 86574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115127024).

86574144 is an abundant number, since it is smaller than the sum of its proper divisors (143679904).

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

86574144 is a wasteful number, since it uses less digits than its factorization.

86574144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2353 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 86574144 is about 9304.5227712119. The cubic root of 86574144 is about 442.3805953162.

The spelling of 86574144 in words is "eighty-six million, five hundred seventy-four thousand, one hundred forty-four".