89280 has 84 divisors (see below), whose sum is σ = 316992. Its totient is φ = 23040.
The previous prime is 89273. The next prime is 89293. The reversal of 89280 is 8298.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is an Ulam number.
It is an unprimeable number.
89280 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 11 ways as a sum of consecutive naturals, for example, 2865 + ... + 2895.
289280 is an apocalyptic number.
89280 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 89280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496).
89280 is an abundant number, since it is smaller than the sum of its proper divisors (227712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89280 is a wasteful number, since it uses less digits than its factorization.
89280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 89280 is about 298.7975903517. The cubic root of 89280 is about 44.6942232374.
Subtracting from 89280 its sum of digits (27), we obtain a triangular number (89253 = T422).
The spelling of 89280 in words is "eighty-nine thousand, two hundred eighty".
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