88368 has 40 divisors (see below), whose sum is σ = 261888. Its totient is φ = 25152.

The previous prime is 88339. The next prime is 88379. The reversal of 88368 is 86388.

88368 = T₉₇ + T₉₈ + ... + T₁₁₂.

It is a super-3 number, since 3×88368³ = 2070171533316096, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88368.

It is an unprimeable number.

88368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 205 + ... + 467.

2⁸⁸³⁶⁸ 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 88368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944).

88368 is an abundant number, since it is smaller than the sum of its proper divisors (173520).

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

88368 is a wasteful number, since it uses less digits than its factorization.

88368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 88368 is about 297.2675562519. The cubic root of 88368 is about 44.5415174540.

The spelling of 88368 in words is "eighty-eight thousand, three hundred sixty-eight".