86505400 has 24 divisors (see below), whose sum is σ = 201125520. Its totient is φ = 34602080.

The previous prime is 86505383. The next prime is 86505403. The reversal of 86505400 is 450568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86505403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216064 + ... + 216463.

It is an arithmetic number, because the mean of its divisors is an integer number (8380230).

Almost surely, 2^86505400 is an apocalyptic number.

It is an amenable number.

86505400 is an abundant number, since it is smaller than the sum of its proper divisors (114620120).

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

86505400 is a wasteful number, since it uses less digits than its factorization.

86505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432543 (or 432534 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 86505400 is about 9300.8279201370. The cubic root of 86505400 is about 442.2634738792.

Adding to 86505400 its reverse (450568), we get a palindrome (86955968).

The spelling of 86505400 in words is "eighty-six million, five hundred five thousand, four hundred".