206424 has 48 divisors (see below), whose sum is σ = 580320. Its totient is φ = 66240.

The previous prime is 206419. The next prime is 206447. The reversal of 206424 is 424602.

206424 is a `hidden beast` number, since 20 + 642 + 4 = 666.

It is a super-2 number, since 2×206424² = 85221735552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206397 and 206406.

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 206424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3354 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2²⁰⁶⁴²⁴ is an apocalyptic number.

206424 is a gapful number since it is divisible by the number (24) 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 206424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

206424 is an abundant number, since it is smaller than the sum of its proper divisors (373896).

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

206424 is a wasteful number, since it uses less digits than its factorization.

206424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 206424 is about 454.3390804234. The cubic root of 206424 is about 59.0998977899.

It can be divided in two parts, 206 and 424, that added together give a triangular number (630 = T₃₅).

The spelling of 206424 in words is "two hundred six thousand, four hundred twenty-four".