206391240 has 160 divisors (see below), whose sum is σ = 756898560. Its totient is φ = 50025600.

The previous prime is 206391209. The next prime is 206391277. The reversal of 206391240 is 42193602.

206391240 is a `hidden beast` number, since 2 + 0 + 639 + 1 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32745 + ... + 38535.

It is an arithmetic number, because the mean of its divisors is an integer number (4730616).

Almost surely, 2^206391240 is an apocalyptic number.

206391240 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 206391240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378449280).

206391240 is an abundant number, since it is smaller than the sum of its proper divisors (550507320).

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

206391240 is a wasteful number, since it uses less digits than its factorization.

206391240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206391240 is about 14366.3231204091. The cubic root of 206391240 is about 590.9677119107.

The spelling of 206391240 in words is "two hundred six million, three hundred ninety-one thousand, two hundred forty".