191981160 has 384 divisors, whose sum is σ = 768268800. Its totient is φ = 40642560.

The previous prime is 191981159. The next prime is 191981173. The reversal of 191981160 is 61189191.

191981160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2703925 + ... + 2703995.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 2^191981160 is an apocalyptic number.

191981160 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 191981160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

191981160 is an abundant number, since it is smaller than the sum of its proper divisors (576287640).

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

191981160 is a wasteful number, since it uses less digits than its factorization.

191981160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 191981160 is about 13855.7266139312. The cubic root of 191981160 is about 576.8809580739.

The spelling of 191981160 in words is "one hundred ninety-one million, nine hundred eighty-one thousand, one hundred sixty".