283620 has 48 divisors (see below), whose sum is σ = 826560. Its totient is φ = 72576.

The previous prime is 283609. The next prime is 283631. The reversal of 283620 is 26382.

It is an interprime number because it is at equal distance from previous prime (283609) and next prime (283631).

It is an unprimeable number.

283620 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, 1659 + ... + 1821.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2²⁸³⁶²⁰ is an apocalyptic number.

283620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

283620 is the 435-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413280).

283620 is an abundant number, since it is smaller than the sum of its proper divisors (542940).

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

283620 is a wasteful number, since it uses less digits than its factorization.

283620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 283620 is about 532.5598557909. The cubic root of 283620 is about 65.7020546144.

It can be divided in two parts, 283 and 620, that added together give a triangular number (903 = T₄₂).

The spelling of 283620 in words is "two hundred eighty-three thousand, six hundred twenty".