206824640 has 56 divisors (see below), whose sum is σ = 537283152. Its totient is φ = 75207680.

The previous prime is 206824627. The next prime is 206824643. The reversal of 206824640 is 46428602.

It is a happy number.

It is a super-2 number, since 2×206824640² = 85552863422259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 206824597 and 206824606.

It is not an unprimeable number, because it can be changed into a prime (206824643) 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, 25859 + ... + 32898.

It is an arithmetic number, because the mean of its divisors is an integer number (9594342).

Almost surely, 2^206824640 is an apocalyptic number.

206824640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206824640 is an abundant number, since it is smaller than the sum of its proper divisors (330458512).

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

206824640 is a wasteful number, since it uses less digits than its factorization.

206824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58785 (or 58775 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 206824640 is about 14381.3990974453. The cubic root of 206824640 is about 591.3810794812.

The spelling of 206824640 in words is "two hundred six million, eight hundred twenty-four thousand, six hundred forty".