283632 has 40 divisors (see below), whose sum is σ = 773760. Its totient is φ = 89280.

The previous prime is 283631. The next prime is 283637. The reversal of 283632 is 236382.

283632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×283632² = 160894222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁴ + 8⁴ + 6² + 3⁵ + 3⁶ + 2¹⁸ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283632.

It is not an unprimeable number, because it can be changed into a prime (283631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2²⁸³⁶³² 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 283632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386880).

283632 is an abundant number, since it is smaller than the sum of its proper divisors (490128).

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

283632 is a wasteful number, since it uses less digits than its factorization.

283632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 283632 is about 532.5711220109. The cubic root of 283632 is about 65.7029812223.

The spelling of 283632 in words is "two hundred eighty-three thousand, six hundred thirty-two".