86520800 has 108 divisors (see below), whose sum is σ = 219829680. Its totient is φ = 33246720.

The previous prime is 86520793. The next prime is 86520809. The reversal of 86520800 is 802568.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86520809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1095161 + ... + 1095239.

It is an arithmetic number, because the mean of its divisors is an integer number (2035460).

Almost surely, 2^86520800 is an apocalyptic number.

86520800 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 86520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109914840).

86520800 is an abundant number, since it is smaller than the sum of its proper divisors (133308880).

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

86520800 is a wasteful number, since it uses less digits than its factorization.

86520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 86520800 is about 9301.6557665826. The cubic root of 86520800 is about 442.2897167626.

The spelling of 86520800 in words is "eighty-six million, five hundred twenty thousand, eight hundred".