93280 has 48 divisors (see below), whose sum is σ = 244944. Its totient is φ = 33280.

The previous prime is 93263. The next prime is 93281. The reversal of 93280 is 8239.

93280 = 11² + 12² + ... + 65².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93281) by changing a digit.

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, 1734 + ... + 1786.

It is an arithmetic number, because the mean of its divisors is an integer number (5103).

2⁹³²⁸⁰ 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 93280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472).

93280 is an abundant number, since it is smaller than the sum of its proper divisors (151664).

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

93280 is a wasteful number, since it uses less digits than its factorization.

93280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 93280 is about 305.4177467011. The cubic root of 93280 is about 45.3519723431.

It can be divided in two parts, 93 and 280, that added together give a palindrome (373).

The spelling of 93280 in words is "ninety-three thousand, two hundred eighty".