206970240 has 192 divisors, whose sum is σ = 702686160. Its totient is φ = 51806208.

The previous prime is 206970233. The next prime is 206970241. The reversal of 206970240 is 42079602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206970198 and 206970207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206970241) 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, 554694 + ... + 555066.

Almost surely, 2^206970240 is an apocalyptic number.

206970240 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 206970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351343080).

206970240 is an abundant number, since it is smaller than the sum of its proper divisors (495715920).

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

206970240 is a wasteful number, since it uses less digits than its factorization.

206970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

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

The square root of 206970240 is about 14386.4603012694. The cubic root of 206970240 is about 591.5198200228.

The spelling of 206970240 in words is "two hundred six million, nine hundred seventy thousand, two hundred forty".