191294064 has 120 divisors (see below), whose sum is σ = 610554672. Its totient is φ = 55388160.

The previous prime is 191294041. The next prime is 191294113. The reversal of 191294064 is 460492191.

It is a happy number.

191294064 is digitally balanced in base 3, 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 23 ways as a sum of consecutive naturals, for example, 28819 + ... + 34829.

Almost surely, 2^191294064 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 191294064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305277336).

191294064 is an abundant number, since it is smaller than the sum of its proper divisors (419260608).

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

191294064 is a wasteful number, since it uses less digits than its factorization.

191294064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 191294064 is about 13830.9097314674. The cubic root of 191294064 is about 576.1919209993.

The spelling of 191294064 in words is "one hundred ninety-one million, two hundred ninety-four thousand, sixty-four".