88480 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 29952.

The previous prime is 88471. The next prime is 88493. The reversal of 88480 is 8488.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable 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, 1081 + ... + 1159.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁸⁴⁸⁰ is an apocalyptic number.

88480 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 88480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

88480 is an abundant number, since it is smaller than the sum of its proper divisors (153440).

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

88480 is a wasteful number, since it uses less digits than its factorization.

88480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 88480 is about 297.4558790813. The cubic root of 88480 is about 44.5603272186.

88480 divided by its sum of digits (28) gives a triangular number (3160 = T₇₉).

The spelling of 88480 in words is "eighty-eight thousand, four hundred eighty".