206499072 has 216 divisors, whose sum is σ = 625414944. Its totient is φ = 60383232.

The previous prime is 206499071. The next prime is 206499101. The reversal of 206499072 is 270994602.

It is a super-2 number, since 2×206499072² = 85283733473722368, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 206499072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206499071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4802283 + ... + 4802325.

Almost surely, 2^206499072 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 206499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312707472).

206499072 is an abundant number, since it is smaller than the sum of its proper divisors (418915872).

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

206499072 is a wasteful number, since it uses less digits than its factorization.

206499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 206499072 is about 14370.0755739140. The cubic root of 206499072 is about 591.0706137837.

The spelling of 206499072 in words is "two hundred six million, four hundred ninety-nine thousand, seventy-two".