207920 has 40 divisors (see below), whose sum is σ = 508896. Its totient is φ = 78848.

The previous prime is 207877. The next prime is 207923. The reversal of 207920 is 29702.

207920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 207892 and 207901.

It is not an unprimeable number, because it can be changed into a prime (207923) by changing a digit.

207920 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784 + ... + 1896.

2²⁰⁷⁹²⁰ is an apocalyptic number.

207920 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 207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448).

207920 is an abundant number, since it is smaller than the sum of its proper divisors (300976).

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

207920 is a wasteful number, since it uses less digits than its factorization.

207920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 207920 is about 455.9824558029. The cubic root of 207920 is about 59.2423242503.

The spelling of 207920 in words is "two hundred seven thousand, nine hundred twenty".