86400 has 96 divisors (see below), whose sum is σ = 316200. Its totient is φ = 23040.

The previous prime is 86399. The next prime is 86413. The reversal of 86400 is 468.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5!.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 10 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17278 + ... + 17282.

2⁸⁶⁴⁰⁰ is an apocalyptic number.

86400 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 86400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100).

86400 is an abundant number, since it is smaller than the sum of its proper divisors (229800).

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

86400 is a wasteful number, since it uses less digits than its factorization.

86400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 10 counting only the distinct ones).

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

The square root of 86400 is about 293.9387691340. The cubic root of 86400 is about 44.2083779837.

Adding to 86400 its reverse (468), we get a palindrome (86868).

The spelling of 86400 in words is "eighty-six thousand, four hundred".