206740560 has 320 divisors, whose sum is σ = 747952128. Its totient is φ = 46835712.

The previous prime is 206740531. The next prime is 206740579. The reversal of 206740560 is 65047602.

It is a super-2 number, since 2×206740560² = 85483318298227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 3085647 + ... + 3085713.

Almost surely, 2^206740560 is an apocalyptic number.

206740560 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 206740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373976064).

206740560 is an abundant number, since it is smaller than the sum of its proper divisors (541211568).

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

206740560 is a wasteful number, since it uses less digits than its factorization.

206740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 206740560 is about 14378.4755798381. The cubic root of 206740560 is about 591.3009309704.

The spelling of 206740560 in words is "two hundred six million, seven hundred forty thousand, five hundred sixty".