206251120 has 80 divisors (see below), whose sum is σ = 503807040. Its totient is φ = 78374912.

The previous prime is 206251069. The next prime is 206251141. The reversal of 206251120 is 21152602.

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

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, 362196 + ... + 362764.

It is an arithmetic number, because the mean of its divisors is an integer number (6297588).

Almost surely, 2^206251120 is an apocalyptic number.

206251120 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 206251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

206251120 is an abundant number, since it is smaller than the sum of its proper divisors (297555920).

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

206251120 is a wasteful number, since it uses less digits than its factorization.

206251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 206251120 is about 14361.4456096871. The cubic root of 206251120 is about 590.8339446990.

The spelling of 206251120 in words is "two hundred six million, two hundred fifty-one thousand, one hundred twenty".