190944 has 96 divisors (see below), whose sum is σ = 635040. Its totient is φ = 55296.

The previous prime is 190921. The next prime is 190979. The reversal of 190944 is 449091.

190944 is digitally balanced in base 2, 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 (96).

It is a super-2 number, since 2×190944² = 72919222272, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 190944.

It is an unprimeable number.

190944 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 15 ways as a sum of consecutive naturals, for example, 11224 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2¹⁹⁰⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

190944 is an abundant number, since it is smaller than the sum of its proper divisors (444096).

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

190944 is a wasteful number, since it uses less digits than its factorization.

190944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 190944 is about 436.9713949448. The cubic root of 190944 is about 57.5840233467.

It can be divided in two parts, 1909 and 44, that added together give a triangular number (1953 = T₆₂).

The spelling of 190944 in words is "one hundred ninety thousand, nine hundred forty-four".