191488 has 44 divisors (see below), whose sum is σ = 442152. Its totient is φ = 81920.

The previous prime is 191473. The next prime is 191491. The reversal of 191488 is 884191.

191488 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (44).

Its product of digits (2304) is a multiple of the sum of its prime factors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11256 + ... + 11272.

2¹⁹¹⁴⁸⁸ 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 191488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221076).

191488 is an abundant number, since it is smaller than the sum of its proper divisors (250664).

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

191488 is a wasteful number, since it uses less digits than its factorization.

191488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 30 counting only the distinct ones).

The product of its digits is 2304, while the sum is 31.

The square root of 191488 is about 437.5934185977. The cubic root of 191488 is about 57.6386571777.

It can be divided in two parts, 1914 and 88, that added together give a palindrome (2002).

The spelling of 191488 in words is "one hundred ninety-one thousand, four hundred eighty-eight".