293280 has 96 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 70656.

The previous prime is 293269. The next prime is 293311. The reversal of 293280 is 82392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 293280.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6217 + ... + 6263.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2²⁹³²⁸⁰ is an apocalyptic number.

293280 is a gapful number since it is divisible by the number (20) 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 293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

293280 is an abundant number, since it is smaller than the sum of its proper divisors (722784).

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

293280 is a wasteful number, since it uses less digits than its factorization.

293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 293280 is about 541.5533214744. The cubic root of 293280 is about 66.4396724259.

The spelling of 293280 in words is "two hundred ninety-three thousand, two hundred eighty".