206461360 has 80 divisors (see below), whose sum is σ = 553107456. Its totient is φ = 70205184.

The previous prime is 206461349. The next prime is 206461417. The reversal of 206461360 is 63164602.

206461360 is a nontrivial binomial coefficient, being equal to C(20321, 2).

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69669 + ... + 72571.

Almost surely, 2^206461360 is an apocalyptic number.

206461360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206461360 is the 20320-th triangular number.

206461360 is the 6774-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276553728).

206461360 is an abundant number, since it is smaller than the sum of its proper divisors (346646096).

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

206461360 is a wasteful number, since it uses less digits than its factorization.

206461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 206461360 is about 14368.7633427515. The cubic root of 206461360 is about 591.0346300674.

The spelling of 206461360 in words is "two hundred six million, four hundred sixty-one thousand, three hundred sixty".