290768 has 20 divisors (see below), whose sum is σ = 597060. Its totient is φ = 136704.

The previous prime is 290767. The next prime is 290791. The reversal of 290768 is 867092.

It can be written as a sum of positive squares in 2 ways, for example, as 183184 + 107584 = 428^2 + 328^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (29853).

2²⁹⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

290768 is an abundant number, since it is smaller than the sum of its proper divisors (306292).

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

290768 is a wasteful number, since it uses less digits than its factorization.

290768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 290768 is about 539.2290793346. The cubic root of 290768 is about 66.2494387042.

The spelling of 290768 in words is "two hundred ninety thousand, seven hundred sixty-eight".