206811648 has 120 divisors (see below), whose sum is σ = 613509468. Its totient is φ = 67018752.

The previous prime is 206811601. The next prime is 206811679. The reversal of 206811648 is 846118602.

206811648 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 1 + 1 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205979904 + 831744 = 14352^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169890 + ... + 171102.

Almost surely, 2^206811648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306754734).

206811648 is an abundant number, since it is smaller than the sum of its proper divisors (406697820).

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

206811648 is a wasteful number, since it uses less digits than its factorization.

206811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 206811648 is about 14380.9473957733. The cubic root of 206811648 is about 591.3686963920.

The spelling of 206811648 in words is "two hundred six million, eight hundred eleven thousand, six hundred forty-eight".