191648000 has 144 divisors (see below), whose sum is σ = 490731696. Its totient is φ = 74547200.

The previous prime is 191647997. The next prime is 191648011. The reversal of 191648000 is 846191.

It can be written as a sum of positive squares in 8 ways, for example, as 101929216 + 89718784 = 10096^2 + 9472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695944 + ... + 1696056.

It is an arithmetic number, because the mean of its divisors is an integer number (3407859).

Almost surely, 2^191648000 is an apocalyptic number.

191648000 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 191648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245365848).

191648000 is an abundant number, since it is smaller than the sum of its proper divisors (299083696).

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

191648000 is an equidigital number, since it uses as much as digits as its factorization.

191648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

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

The square root of 191648000 is about 13843.6989276710. The cubic root of 191648000 is about 576.5470625611.

The spelling of 191648000 in words is "one hundred ninety-one million, six hundred forty-eight thousand".