191361960 has 128 divisors (see below), whose sum is σ = 642297600. Its totient is φ = 50676480.

The previous prime is 191361913. The next prime is 191361991. The reversal of 191361960 is 69163191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179830 + ... + 180890.

It is an arithmetic number, because the mean of its divisors is an integer number (5017950).

Almost surely, 2^191361960 is an apocalyptic number.

191361960 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 191361960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321148800).

191361960 is an abundant number, since it is smaller than the sum of its proper divisors (450935640).

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

191361960 is a wasteful number, since it uses less digits than its factorization.

191361960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 191361960 is about 13833.3640160302. The cubic root of 191361960 is about 576.2600821998.

The spelling of 191361960 in words is "one hundred ninety-one million, three hundred sixty-one thousand, nine hundred sixty".