206377542 has 48 divisors (see below), whose sum is σ = 516121632. Its totient is φ = 58377600.

The previous prime is 206377519. The next prime is 206377547. The reversal of 206377542 is 245773602.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 206377497 and 206377506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206377547) 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, 4618 + ... + 20834.

It is an arithmetic number, because the mean of its divisors is an integer number (10752534).

Almost surely, 2^206377542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206377542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258060816).

206377542 is an abundant number, since it is smaller than the sum of its proper divisors (309744090).

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

206377542 is a wasteful number, since it uses less digits than its factorization.

206377542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16333 (or 16330 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 206377542 is about 14365.8463725602. The cubic root of 206377542 is about 590.9546376239.

The spelling of 206377542 in words is "two hundred six million, three hundred seventy-seven thousand, five hundred forty-two".