284620 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 91584.

The previous prime is 284593. The next prime is 284623. The reversal of 284620 is 26482.

284620 is nontrivially palindromic in base 9.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 284591 and 284600.

It is not an unprimeable number, because it can be changed into a prime (284623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2607 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁸⁴⁶²⁰ is an apocalyptic number.

284620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

284620 is an abundant number, since it is smaller than the sum of its proper divisors (441140).

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

284620 is a wasteful number, since it uses less digits than its factorization.

284620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 284620 is about 533.4978912798. The cubic root of 284620 is about 65.7791824464.

The spelling of 284620 in words is "two hundred eighty-four thousand, six hundred twenty".