288990 has 72 divisors (see below), whose sum is σ = 856440. Its totient is φ = 67392.

The previous prime is 288989. The next prime is 288991. The reversal of 288990 is 99882.

It is an interprime number because it is at equal distance from previous prime (288989) and next prime (288991).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15201 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (11895).

2²⁸⁸⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428220).

288990 is an abundant number, since it is smaller than the sum of its proper divisors (567450).

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

288990 is a wasteful number, since it uses less digits than its factorization.

288990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 288990 is about 537.5779013315. The cubic root of 288990 is about 66.1141276050.

The spelling of 288990 in words is "two hundred eighty-eight thousand, nine hundred ninety".