207630240 has 96 divisors (see below), whose sum is σ = 656631360. Its totient is φ = 55148544.

The previous prime is 207630217. The next prime is 207630257. The reversal of 207630240 is 42036702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×207630240² = 86220633124915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 207630240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146656 + ... + 148064.

It is an arithmetic number, because the mean of its divisors is an integer number (6839910).

Almost surely, 2^207630240 is an apocalyptic number.

207630240 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 207630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328315680).

207630240 is an abundant number, since it is smaller than the sum of its proper divisors (449001120).

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

207630240 is a wasteful number, since it uses less digits than its factorization.

207630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 207630240 is about 14409.3802781383. The cubic root of 207630240 is about 592.1479116654.

Adding to 207630240 its reverse (42036702), we get a palindrome (249666942).

The spelling of 207630240 in words is "two hundred seven million, six hundred thirty thousand, two hundred forty".