206436240 has 120 divisors (see below), whose sum is σ = 697931520. Its totient is φ = 54680832.

The previous prime is 206436203. The next prime is 206436259. The reversal of 206436240 is 42634602.

206436240 is a `hidden beast` number, since 206 + 436 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116481 + ... + 118239.

It is an arithmetic number, because the mean of its divisors is an integer number (5816096).

Almost surely, 2^206436240 is an apocalyptic number.

206436240 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 206436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348965760).

206436240 is an abundant number, since it is smaller than the sum of its proper divisors (491495280).

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

206436240 is a wasteful number, since it uses less digits than its factorization.

206436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 206436240 is about 14367.8891977910. The cubic root of 206436240 is about 591.0106588473.

The spelling of 206436240 in words is "two hundred six million, four hundred thirty-six thousand, two hundred forty".