206266368 has 224 divisors, whose sum is σ = 692017920. Its totient is φ = 53084160.

The previous prime is 206266363. The next prime is 206266373. The reversal of 206266368 is 863662602.

It is an interprime number because it is at equal distance from previous prime (206266363) and next prime (206266373).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×206266368² = 85091629135822848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206266363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892298 + ... + 1892406.

Almost surely, 2^206266368 is an apocalyptic number.

206266368 is a gapful number since it is divisible by the number (28) 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 206266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346008960).

206266368 is an abundant number, since it is smaller than the sum of its proper divisors (485751552).

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

206266368 is a wasteful number, since it uses less digits than its factorization.

206266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 206266368 is about 14361.9764656540. The cubic root of 206266368 is about 590.8485043193.

The spelling of 206266368 in words is "two hundred six million, two hundred sixty-six thousand, three hundred sixty-eight".