206877216 has 288 divisors, whose sum is σ = 723945600. Its totient is φ = 51093504.

The previous prime is 206877161. The next prime is 206877239. The reversal of 206877216 is 612778602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039485 + ... + 1039683.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^206877216 is an apocalyptic number.

206877216 is a gapful number since it is divisible by the number (26) 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 206877216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

206877216 is an abundant number, since it is smaller than the sum of its proper divisors (517068384).

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

206877216 is a wasteful number, since it uses less digits than its factorization.

206877216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 206877216 is about 14383.2268980226. The cubic root of 206877216 is about 591.4311860471.

The spelling of 206877216 in words is "two hundred six million, eight hundred seventy-seven thousand, two hundred sixteen".