207840 has 48 divisors (see below), whose sum is σ = 656208. Its totient is φ = 55296.

The previous prime is 207833. The next prime is 207847. The reversal of 207840 is 48702.

It is a happy number.

207840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (207833) and next prime (207847).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207847) by changing a digit.

207840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2²⁰⁷⁸⁴⁰ is an apocalyptic number.

207840 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 207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

207840 is an abundant number, since it is smaller than the sum of its proper divisors (448368).

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

207840 is a wasteful number, since it uses less digits than its factorization.

207840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 207840 is about 455.8947246898. The cubic root of 207840 is about 59.2347251835.

The spelling of 207840 in words is "two hundred seven thousand, eight hundred forty".