206676400 has 120 divisors (see below), whose sum is σ = 571741184. Its totient is φ = 70329600.

The previous prime is 206676389. The next prime is 206676409. The reversal of 206676400 is 4676602.

It is not an unprimeable number, because it can be changed into a prime (206676409) 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 23 ways as a sum of consecutive naturals, for example, 624235 + ... + 624565.

Almost surely, 2^206676400 is an apocalyptic number.

206676400 is a gapful number since it is divisible by the number (20) 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 206676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285870592).

206676400 is an abundant number, since it is smaller than the sum of its proper divisors (365064784).

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

206676400 is a wasteful number, since it uses less digits than its factorization.

206676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 206676400 is about 14376.2442939733. The cubic root of 206676400 is about 591.2397564030.

The spelling of 206676400 in words is "two hundred six million, six hundred seventy-six thousand, four hundred".