206506872 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 55814400.

The previous prime is 206506849. The next prime is 206506901. The reversal of 206506872 is 278605602.

206506872 is digitally balanced in base 2, 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 (36).

It is a congruent number.

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, 318853 + ... + 319499.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^206506872 is an apocalyptic number.

206506872 is a gapful number since it is divisible by the number (22) 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 206506872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

206506872 is an abundant number, since it is smaller than the sum of its proper divisors (472804488).

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

206506872 is a wasteful number, since it uses less digits than its factorization.

206506872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 206506872 is about 14370.3469686713. The cubic root of 206506872 is about 591.0780557747.

The spelling of 206506872 in words is "two hundred six million, five hundred six thousand, eight hundred seventy-two".