86400000 has 264 divisors, whose sum is σ = 319823280. Its totient is φ = 23040000.

The previous prime is 86399993. The next prime is 86400031. The reversal of 86400000 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 Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17279998 + ... + 17280002.

Almost surely, 2^86400000 is an apocalyptic number.

86400000 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 86400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159911640).

86400000 is an abundant number, since it is smaller than the sum of its proper divisors (233423280).

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

86400000 is an frugal number, since it uses more digits than its factorization.

86400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

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

The square root of 86400000 is about 9295.1600308978. The cubic root of 86400000 is about 442.0837798368.

Adding to 86400000 its reverse (468), we get a palindrome (86400468).

The spelling of 86400000 in words is "eighty-six million, four hundred thousand".