191648 has 24 divisors (see below), whose sum is σ = 387828. Its totient is φ = 93184.

The previous prime is 191627. The next prime is 191657. The reversal of 191648 is 846191.

It can be written as a sum of positive squares in 2 ways, for example, as 183184 + 8464 = 428^2 + 92^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 191648.

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 191648.

It is an unprimeable number.

191648 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, 1640 + ... + 1752.

2¹⁹¹⁶⁴⁸ 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 191648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914).

191648 is an abundant number, since it is smaller than the sum of its proper divisors (196180).

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

191648 is a wasteful number, since it uses less digits than its factorization.

191648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 191648 is about 437.7761985307. The cubic root of 191648 is about 57.6547062561.

The spelling of 191648 in words is "one hundred ninety-one thousand, six hundred forty-eight".