86044224 has 112 divisors (see below), whose sum is σ = 264046208. Its totient is φ = 24219648.

The previous prime is 86044213. The next prime is 86044229. The reversal of 86044224 is 42244068.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 86044191 and 86044200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86044229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97674 + ... + 98550.

Almost surely, 2^86044224 is an apocalyptic number.

86044224 is a gapful number since it is divisible by the number (84) 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 86044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132023104).

86044224 is an abundant number, since it is smaller than the sum of its proper divisors (178001984).

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

86044224 is a wasteful number, since it uses less digits than its factorization.

86044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 86044224 is about 9276.0025873218. The cubic root of 86044224 is about 441.4761441143.

It can be divided in two parts, 86044 and 224, that added together give a palindrome (86268).

The spelling of 86044224 in words is "eighty-six million, forty-four thousand, two hundred twenty-four".