86224320 has 504 divisors, whose sum is σ = 379439424. Its totient is φ = 17805312.

The previous prime is 86224297. The next prime is 86224321. The reversal of 86224320 is 2342268.

86224320 is a `hidden beast` number, since 8 + 622 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86224321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834537 + ... + 1834583.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 2^86224320 is an apocalyptic number.

86224320 is a gapful number since it is divisible by the number (80) 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 86224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

86224320 is an abundant number, since it is smaller than the sum of its proper divisors (293215104).

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

86224320 is a wasteful number, since it uses less digits than its factorization.

86224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86224320 is about 9285.7051428526. The cubic root of 86224320 is about 441.7839419596.

Adding to 86224320 its reverse (2342268), we get a palindrome (88566588).

The spelling of 86224320 in words is "eighty-six million, two hundred twenty-four thousand, three hundred twenty".