206551040 has 96 divisors (see below), whose sum is σ = 517739040. Its totient is φ = 78938112.

The previous prime is 206551039. The next prime is 206551067. The reversal of 206551040 is 40155602.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 206550997 and 206551015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235082 + ... + 235958.

It is an arithmetic number, because the mean of its divisors is an integer number (5393115).

Almost surely, 2^206551040 is an apocalyptic number.

206551040 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 206551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258869520).

206551040 is an abundant number, since it is smaller than the sum of its proper divisors (311188000).

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

206551040 is an equidigital number, since it uses as much as digits as its factorization.

206551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 206551040 is about 14371.8836622066. The cubic root of 206551040 is about 591.1201929916.

The spelling of 206551040 in words is "two hundred six million, five hundred fifty-one thousand, forty".