206934600 has 96 divisors (see below), whose sum is σ = 645181920. Its totient is φ = 54865920.

The previous prime is 206934593. The next prime is 206934613. The reversal of 206934600 is 6439602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 114907 + ... + 116693.

It is an arithmetic number, because the mean of its divisors is an integer number (6720645).

Almost surely, 2^206934600 is an apocalyptic number.

206934600 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 206934600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322590960).

206934600 is an abundant number, since it is smaller than the sum of its proper divisors (438247320).

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

206934600 is a wasteful number, since it uses less digits than its factorization.

206934600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 206934600 is about 14385.2215832777. The cubic root of 206934600 is about 591.4858650983.

The spelling of 206934600 in words is "two hundred six million, nine hundred thirty-four thousand, six hundred".