207864 has 24 divisors (see below), whose sum is σ = 563160. Its totient is φ = 69264.

The previous prime is 207847. The next prime is 207869. The reversal of 207864 is 468702.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207869) by changing a digit.

207864 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1372 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (23465).

2²⁰⁷⁸⁶⁴ is an apocalyptic number.

207864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

207864 is an abundant number, since it is smaller than the sum of its proper divisors (355296).

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

207864 is a wasteful number, since it uses less digits than its factorization.

207864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 207864 is about 455.9210457963. The cubic root of 207864 is about 59.2370051083.

The spelling of 207864 in words is "two hundred seven thousand, eight hundred sixty-four".