86430400 has 84 divisors (see below), whose sum is σ = 243086128. Its totient is φ = 29629440.

The previous prime is 86430391. The next prime is 86430403. The reversal of 86430400 is 403468.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (86430403) 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 11 ways as a sum of consecutive naturals, for example, 7342 + ... + 15058.

Almost surely, 2^86430400 is an apocalyptic number.

86430400 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 86430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121543064).

86430400 is an abundant number, since it is smaller than the sum of its proper divisors (156655728).

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

86430400 is a wasteful number, since it uses less digits than its factorization.

86430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 86430400 is about 9296.7951467159. The cubic root of 86430400 is about 442.1356230891.

Adding to 86430400 its reverse (403468), we get a palindrome (86833868).

The spelling of 86430400 in words is "eighty-six million, four hundred thirty thousand, four hundred".