290088 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 89856.

The previous prime is 290083. The next prime is 290107. The reversal of 290088 is 880092.

290088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290088.

It is not an unprimeable number, because it can be changed into a prime (290083) by changing a digit.

290088 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 15 ways as a sum of consecutive naturals, for example, 3633 + ... + 3711.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁹⁰⁰⁸⁸ 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 290088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

290088 is an abundant number, since it is smaller than the sum of its proper divisors (573912).

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

290088 is a wasteful number, since it uses less digits than its factorization.

290088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 290088 is about 538.5981804648. The cubic root of 290088 is about 66.1977539908.

The spelling of 290088 in words is "two hundred ninety thousand, eighty-eight".