206742900 has 144 divisors (see below), whose sum is σ = 736313984. Its totient is φ = 43614720.

The previous prime is 206742889. The next prime is 206742917. The reversal of 206742900 is 9247602.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23514 + ... + 31086.

Almost surely, 2^206742900 is an apocalyptic number.

206742900 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 206742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368156992).

206742900 is an abundant number, since it is smaller than the sum of its proper divisors (529571084).

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

206742900 is a wasteful number, since it uses less digits than its factorization.

206742900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 206742900 is about 14378.5569512382. The cubic root of 206742900 is about 591.3031618485.

The spelling of 206742900 in words is "two hundred six million, seven hundred forty-two thousand, nine hundred".