206375040 has 192 divisors, whose sum is σ = 739589760. Its totient is φ = 54991872.

The previous prime is 206374999. The next prime is 206375047. The reversal of 206375040 is 40573602.

It is a happy number.

206375040 is a `hidden beast` number, since 20 + 637 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 206374995 and 206375013.

It is not an unprimeable number, because it can be changed into a prime (206375047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154857 + ... + 156183.

It is an arithmetic number, because the mean of its divisors is an integer number (3852030).

Almost surely, 2^206375040 is an apocalyptic number.

206375040 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 206375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369794880).

206375040 is an abundant number, since it is smaller than the sum of its proper divisors (533214720).

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

206375040 is an equidigital number, since it uses as much as digits as its factorization.

206375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 206375040 is about 14365.7592907580. The cubic root of 206375040 is about 590.9522494853.

The spelling of 206375040 in words is "two hundred six million, three hundred seventy-five thousand, forty".