206122416 has 160 divisors (see below), whose sum is σ = 592837056. Its totient is φ = 61440000.

The previous prime is 206122387. The next prime is 206122439. The reversal of 206122416 is 614221602.

206122416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040766 + ... + 2040866.

Almost surely, 2^206122416 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 206122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296418528).

206122416 is an abundant number, since it is smaller than the sum of its proper divisors (386714640).

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

206122416 is a wasteful number, since it uses less digits than its factorization.

206122416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 206122416 is about 14356.9640244726. The cubic root of 206122416 is about 590.7110225143.

The spelling of 206122416 in words is "two hundred six million, one hundred twenty-two thousand, four hundred sixteen".