206144880 has 80 divisors (see below), whose sum is σ = 640807200. Its totient is φ = 54820864.

The previous prime is 206144857. The next prime is 206144903. The reversal of 206144880 is 88441602.

206144880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206144857) and next prime (206144903).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×206144880⁵ (a number of 43 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106804 + ... + 108716.

It is an arithmetic number, because the mean of its divisors is an integer number (8010090).

Almost surely, 2^206144880 is an apocalyptic number.

206144880 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 206144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320403600).

206144880 is an abundant number, since it is smaller than the sum of its proper divisors (434662320).

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

206144880 is a wasteful number, since it uses less digits than its factorization.

206144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 206144880 is about 14357.7463412612. The cubic root of 206144880 is about 590.7324810415.

The spelling of 206144880 in words is "two hundred six million, one hundred forty-four thousand, eight hundred eighty".