206987040 has 144 divisors (see below), whose sum is σ = 760746168. Its totient is φ = 50946048.

The previous prime is 206987023. The next prime is 206987041. The reversal of 206987040 is 40789602.

It can be written as a sum of positive squares in 4 ways, for example, as 94711824 + 112275216 = 9732^2 + 10596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206986986 and 206987004.

It is not an unprimeable number, because it can be changed into a prime (206987041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13192 + ... + 24248.

Almost surely, 2^206987040 is an apocalyptic number.

206987040 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 206987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380373084).

206987040 is an abundant number, since it is smaller than the sum of its proper divisors (553759128).

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

206987040 is a wasteful number, since it uses less digits than its factorization.

206987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 206987040 is about 14387.0441717540. The cubic root of 206987040 is about 591.5358243593.

The spelling of 206987040 in words is "two hundred six million, nine hundred eighty-seven thousand, forty".