189440 has 44 divisors (see below), whose sum is σ = 466716. Its totient is φ = 73728.

The previous prime is 189439. The next prime is 189463. The reversal of 189440 is 44981.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 65536 = 352^2 + 256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5102 + ... + 5138.

2¹⁸⁹⁴⁴⁰ is an apocalyptic number.

189440 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 189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233358).

189440 is an abundant number, since it is smaller than the sum of its proper divisors (277276).

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

189440 is an equidigital number, since it uses as much as digits as its factorization.

189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 189440 is about 435.2470562795. The cubic root of 189440 is about 57.4324348165.

The spelling of 189440 in words is "one hundred eighty-nine thousand, four hundred forty".