206855040 has 128 divisors (see below), whose sum is σ = 753592320. Its totient is φ = 47278080.

The previous prime is 206855039. The next prime is 206855041. The reversal of 206855040 is 40558602.

It is an interprime number because it is at equal distance from previous prime (206855039) and next prime (206855041).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206854989 and 206855007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206855041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5745 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (5887440).

Almost surely, 2^206855040 is an apocalyptic number.

206855040 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 206855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376796160).

206855040 is an abundant number, since it is smaller than the sum of its proper divisors (546737280).

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

206855040 is a wasteful number, since it uses less digits than its factorization.

206855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15420 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 206855040 is about 14382.4559794216. The cubic root of 206855040 is about 591.4100526636.

The spelling of 206855040 in words is "two hundred six million, eight hundred fifty-five thousand, forty".