86400288 has 144 divisors (see below), whose sum is σ = 270781056. Its totient is φ = 25966080.

The previous prime is 86400271. The next prime is 86400299. The reversal of 86400288 is 88200468.

86400288 is a `hidden beast` number, since 8 + 640 + 0 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 175723 + ... + 176213.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 2^86400288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86400288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

86400288 is an abundant number, since it is smaller than the sum of its proper divisors (184380768).

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

86400288 is a wasteful number, since it uses less digits than its factorization.

86400288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86400288 is about 9295.1755228183. The cubic root of 86400288 is about 442.0842710405.

The spelling of 86400288 in words is "eighty-six million, four hundred thousand, two hundred eighty-eight".