993280 has 48 divisors (see below), whose sum is σ = 2407860. Its totient is φ = 393216.

The previous prime is 993269. The next prime is 993283. The reversal of 993280 is 82399.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 9216 = 992^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (993283) by changing a digit.

993280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10192 + ... + 10288.

2⁹⁹³²⁸⁰ 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 993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203930).

993280 is an abundant number, since it is smaller than the sum of its proper divisors (1414580).

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

993280 is an equidigital number, since it uses as much as digits as its factorization.

993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 993280 is about 996.6343361534. The cubic root of 993280 is about 99.7754963583.

The spelling of 993280 in words is "nine hundred ninety-three thousand, two hundred eighty".