206724240 has 60 divisors (see below), whose sum is σ = 694251324. Its totient is φ = 55126272.

The previous prime is 206724211. The next prime is 206724241. The reversal of 206724240 is 42427602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 170145936 = 6048^2 + 13044^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×206724240² = 85469822807155200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206724241) 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 11 ways as a sum of consecutive naturals, for example, 142839 + ... + 144278.

Almost surely, 2^206724240 is an apocalyptic number.

206724240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206724240 is an abundant number, since it is smaller than the sum of its proper divisors (487527084).

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

206724240 is a wasteful number, since it uses less digits than its factorization.

206724240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287136 (or 287127 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 206724240 is about 14377.9080536773. The cubic root of 206724240 is about 591.2853715577.

The spelling of 206724240 in words is "two hundred six million, seven hundred twenty-four thousand, two hundred forty".