293088 has 48 divisors (see below), whose sum is σ = 798336. Its totient is φ = 94080.

The previous prime is 293087. The next prime is 293093. The reversal of 293088 is 880392.

It is a tau number, because it is divible by the number of its divisors (48).

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 293088.

It is not an unprimeable number, because it can be changed into a prime (293081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4093 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2²⁹³⁰⁸⁸ 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 293088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168).

293088 is an abundant number, since it is smaller than the sum of its proper divisors (505248).

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

293088 is a wasteful number, since it uses less digits than its factorization.

293088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 293088 is about 541.3760245892. The cubic root of 293088 is about 66.4251706962.

The spelling of 293088 in words is "two hundred ninety-three thousand, eighty-eight".