206761300 has 72 divisors (see below), whose sum is σ = 470282400. Its totient is φ = 78798720.

The previous prime is 206761277. The next prime is 206761333. The reversal of 206761300 is 3167602.

206761300 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240271 + ... + 241129.

It is an arithmetic number, because the mean of its divisors is an integer number (6531700).

Almost surely, 2^206761300 is an apocalyptic number.

206761300 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 206761300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235141200).

206761300 is an abundant number, since it is smaller than the sum of its proper divisors (263521100).

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

206761300 is a wasteful number, since it uses less digits than its factorization.

206761300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 206761300 is about 14379.1967786800. The cubic root of 206761300 is about 591.3207032093.

The spelling of 206761300 in words is "two hundred six million, seven hundred sixty-one thousand, three hundred".