88320 has 72 divisors (see below), whose sum is σ = 294336. Its totient is φ = 22528.

The previous prime is 88301. The next prime is 88321. The reversal of 88320 is 2388.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88321) by changing a digit.

88320 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3829 + ... + 3851.

It is an arithmetic number, because the mean of its divisors is an integer number (4088).

2⁸⁸³²⁰ is an apocalyptic number.

88320 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 88320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168).

88320 is an abundant number, since it is smaller than the sum of its proper divisors (206016).

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

88320 is a wasteful number, since it uses less digits than its factorization.

88320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 88320 is about 297.1868099361. The cubic root of 88320 is about 44.5334512608.

It can be divided in two parts, 883 and 20, that added together give a triangular number (903 = T₄₂).

The spelling of 88320 in words is "eighty-eight thousand, three hundred twenty".