191264 has 24 divisors (see below), whose sum is σ = 388080. Its totient is φ = 92736.

The previous prime is 191251. The next prime is 191281. The reversal of 191264 is 462191.

191264 = T₇₂ + T₇₃ + ... + T₁₁₄.

It is a happy number.

191264 is a Rhonda number in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1307 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2¹⁹¹²⁶⁴ 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 191264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194040).

191264 is an abundant number, since it is smaller than the sum of its proper divisors (196816).

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

191264 is a wasteful number, since it uses less digits than its factorization.

191264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 191264 is about 437.3373983551. The cubic root of 191264 is about 57.6161734418.

The spelling of 191264 in words is "one hundred ninety-one thousand, two hundred sixty-four".