191920 has 20 divisors (see below), whose sum is σ = 446400. Its totient is φ = 76736.

The previous prime is 191911. The next prime is 191929. The reversal of 191920 is 29191.

It is an interprime number because it is at equal distance from previous prime (191911) and next prime (191929).

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 191891 and 191900.

It is not an unprimeable number, because it can be changed into a prime (191929) by changing a digit.

191920 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 3 ways as a sum of consecutive naturals, for example, 1120 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2¹⁹¹⁹²⁰ is an apocalyptic number.

191920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191920 is an abundant number, since it is smaller than the sum of its proper divisors (254480).

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

191920 is a wasteful number, since it uses less digits than its factorization.

191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 191920 is about 438.0867494002. The cubic root of 191920 is about 57.6819692016.

It can be divided in two parts, 191 and 920, that added together give a palindrome (1111).

The spelling of 191920 in words is "one hundred ninety-one thousand, nine hundred twenty".