86224800 has 144 divisors (see below), whose sum is σ = 288544032. Its totient is φ = 22348800.

The previous prime is 86224759. The next prime is 86224807. The reversal of 86224800 is 842268.

It is a happy number.

It is a super-2 number, since 2×86224800² = 14869432270080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86224807) 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 23 ways as a sum of consecutive naturals, for example, 88315 + ... + 89285.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 2^86224800 is an apocalyptic number.

86224800 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 86224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144272016).

86224800 is an abundant number, since it is smaller than the sum of its proper divisors (202319232).

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

86224800 is a wasteful number, since it uses less digits than its factorization.

86224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86224800 is about 9285.7309889960. The cubic root of 86224800 is about 441.7847617434.

The spelling of 86224800 in words is "eighty-six million, two hundred twenty-four thousand, eight hundred".