191295648 has 192 divisors, whose sum is σ = 603187200. Its totient is φ = 58786560.

The previous prime is 191295631. The next prime is 191295649. The reversal of 191295648 is 846592191.

It is not an unprimeable number, because it can be changed into a prime (191295649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705753 + ... + 706023.

It is an arithmetic number, because the mean of its divisors is an integer number (3141600).

Almost surely, 2^191295648 is an apocalyptic number.

191295648 is a gapful number since it is divisible by the number (18) 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 191295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301593600).

191295648 is an abundant number, since it is smaller than the sum of its proper divisors (411891552).

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

191295648 is a wasteful number, since it uses less digits than its factorization.

191295648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 191295648 is about 13830.9669943934. The cubic root of 191295648 is about 576.1935113701.

The spelling of 191295648 in words is "one hundred ninety-one million, two hundred ninety-five thousand, six hundred forty-eight".