86224440 has 64 divisors (see below), whose sum is σ = 259689600. Its totient is φ = 22902912.

The previous prime is 86224409. The next prime is 86224441. The reversal of 86224440 is 4442268.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86224398 and 86224407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86224441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32691 + ... + 35229.

It is an arithmetic number, because the mean of its divisors is an integer number (4057650).

Almost surely, 2^86224440 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 86224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129844800).

86224440 is an abundant number, since it is smaller than the sum of its proper divisors (173465160).

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

86224440 is a wasteful number, since it uses less digits than its factorization.

86224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2832 counting only the distinct ones).

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

The square root of 86224440 is about 9285.7116043952. The cubic root of 86224440 is about 441.7841469058.

The spelling of 86224440 in words is "eighty-six million, two hundred twenty-four thousand, four hundred forty".