206249940 has 144 divisors (see below), whose sum is σ = 709363200. Its totient is φ = 48086784.

The previous prime is 206249929. The next prime is 206249957. The reversal of 206249940 is 49942602.

206249940 is a `hidden beast` number, since 20 + 624 + 9 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206249895 and 206249904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42141 + ... + 46779.

Almost surely, 2^206249940 is an apocalyptic number.

206249940 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 206249940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354681600).

206249940 is an abundant number, since it is smaller than the sum of its proper divisors (503113260).

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

206249940 is a wasteful number, since it uses less digits than its factorization.

206249940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 206249940 is about 14361.4045274130. The cubic root of 206249940 is about 590.8328179409.

The spelling of 206249940 in words is "two hundred six million, two hundred forty-nine thousand, nine hundred forty".