206625328 has 80 divisors (see below), whose sum is σ = 495968256. Its totient is φ = 81204480.

The previous prime is 206625311. The next prime is 206625329. The reversal of 206625328 is 823526602.

It is a super-2 number, since 2×206625328² = 85388052342215168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206625293 and 206625302.

It is not an unprimeable number, because it can be changed into a prime (206625329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277725 + ... + 278467.

Almost surely, 2^206625328 is an apocalyptic number.

206625328 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 206625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247984128).

206625328 is an abundant number, since it is smaller than the sum of its proper divisors (289342928).

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

206625328 is a wasteful number, since it uses less digits than its factorization.

206625328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 206625328 is about 14374.4679205875. The cubic root of 206625328 is about 591.1910517865.

The spelling of 206625328 in words is "two hundred six million, six hundred twenty-five thousand, three hundred twenty-eight".