86000400 has 120 divisors (see below), whose sum is σ = 306136160. Its totient is φ = 22930560.

The previous prime is 86000377. The next prime is 86000401. The reversal of 86000400 is 400068.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (86000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6819 + ... + 14781.

Almost surely, 2^86000400 is an apocalyptic number.

86000400 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 86000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153068080).

86000400 is an abundant number, since it is smaller than the sum of its proper divisors (220135760).

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

86000400 is a wasteful number, since it uses less digits than its factorization.

86000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 86000400 is about 9273.6400620253. The cubic root of 86000400 is about 441.4011805850.

Adding to 86000400 its reverse (400068), we get a palindrome (86400468).

The spelling of 86000400 in words is "eighty-six million, four hundred", and thus it is an aban number.