187920 has 100 divisors (see below), whose sum is σ = 675180. Its totient is φ = 48384.

The previous prime is 187909. The next prime is 187921. The reversal of 187920 is 29781.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 104976 = 288^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187921) by changing a digit.

187920 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 19 ways as a sum of consecutive naturals, for example, 6466 + ... + 6494.

2¹⁸⁷⁹²⁰ is an apocalyptic number.

187920 is a gapful number since it is divisible by the number (10) 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 187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337590).

187920 is an abundant number, since it is smaller than the sum of its proper divisors (487260).

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

187920 is a wasteful number, since it uses less digits than its factorization.

187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 187920 is about 433.4974048365. The cubic root of 187920 is about 57.2784162562.

The spelling of 187920 in words is "one hundred eighty-seven thousand, nine hundred twenty".