290268 has 36 divisors (see below), whose sum is σ = 801528. Its totient is φ = 87840.

The previous prime is 290249. The next prime is 290317. The reversal of 290268 is 862092.

290268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

290268 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 762.

2²⁹⁰²⁶⁸ 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 290268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400764).

290268 is an abundant number, since it is smaller than the sum of its proper divisors (511260).

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

290268 is a wasteful number, since it uses less digits than its factorization.

290268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 290268 is about 538.7652550044. The cubic root of 290268 is about 66.2114430920.

The spelling of 290268 in words is "two hundred ninety thousand, two hundred sixty-eight".