206484720 has 240 divisors, whose sum is σ = 735473760. Its totient is φ = 47628288.

The previous prime is 206484709. The next prime is 206484743. The reversal of 206484720 is 27484602.

206484720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901566 + ... + 901794.

It is an arithmetic number, because the mean of its divisors is an integer number (3064474).

Almost surely, 2^206484720 is an apocalyptic number.

206484720 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 206484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367736880).

206484720 is an abundant number, since it is smaller than the sum of its proper divisors (528989040).

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

206484720 is a wasteful number, since it uses less digits than its factorization.

206484720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 206484720 is about 14369.5761941680. The cubic root of 206484720 is about 591.0569200305.

The spelling of 206484720 in words is "two hundred six million, four hundred eighty-four thousand, seven hundred twenty".