206933940 has 216 divisors, whose sum is σ = 694380960. Its totient is φ = 51648192.

The previous prime is 206933939. The next prime is 206933941. The reversal of 206933940 is 49339602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206933939) and next prime (206933941).

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 = 206933895 and 206933904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206933941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2493139 + ... + 2493221.

Almost surely, 2^206933940 is an apocalyptic number.

206933940 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 206933940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347190480).

206933940 is an abundant number, since it is smaller than the sum of its proper divisors (487447020).

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

206933940 is an equidigital number, since it uses as much as digits as its factorization.

206933940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 206933940 is about 14385.1986430497. The cubic root of 206933940 is about 591.4852362667.

The spelling of 206933940 in words is "two hundred six million, nine hundred thirty-three thousand, nine hundred forty".