86406544 has 80 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 34739712.

The previous prime is 86406527. The next prime is 86406553. The reversal of 86406544 is 44560468.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119817 + ... + 120535.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^86406544 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 86406544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

86406544 is an abundant number, since it is smaller than the sum of its proper divisors (117151856).

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

86406544 is a wasteful number, since it uses less digits than its factorization.

86406544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 86406544 is about 9295.5120353857. The cubic root of 86406544 is about 442.0949408061.

The spelling of 86406544 in words is "eighty-six million, four hundred six thousand, five hundred forty-four".