206267490 has 288 divisors, whose sum is σ = 669247488. Its totient is φ = 43718400.

The previous prime is 206267483. The next prime is 206267497. The reversal of 206267490 is 94762602.

It is a happy number.

206267490 is a `hidden beast` number, since 20 + 626 + 7 + 4 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206267483) and next prime (206267497).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (206267497) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4388647 + ... + 4388693.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^206267490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206267490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

206267490 is an abundant number, since it is smaller than the sum of its proper divisors (462979998).

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

206267490 is a wasteful number, since it uses less digits than its factorization.

206267490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 206267490 is about 14362.0155270770. The cubic root of 206267490 is about 590.8495756376.

The spelling of 206267490 in words is "two hundred six million, two hundred sixty-seven thousand, four hundred ninety".