288036 has 60 divisors (see below), whose sum is σ = 867328. Its totient is φ = 81648.

The previous prime is 288023. The next prime is 288049. The reversal of 288036 is 630882.

It is an interprime number because it is at equal distance from previous prime (288023) and next prime (288049).

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

It is a congruent number.

It is an unprimeable number.

288036 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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2205 + ... + 2331.

2²⁸⁸⁰³⁶ 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 288036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433664).

288036 is an abundant number, since it is smaller than the sum of its proper divisors (579292).

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

288036 is a wasteful number, since it uses less digits than its factorization.

288036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 288036 is about 536.6898545715. The cubic root of 288036 is about 66.0412964693.

It can be divided in two parts, 2880 and 36, that added together give a square (2916 = 54²).

The spelling of 288036 in words is "two hundred eighty-eight thousand, thirty-six".