191205664 has 96 divisors (see below), whose sum is σ = 452148480. Its totient is φ = 78630912.

The previous prime is 191205653. The next prime is 191205697. The reversal of 191205664 is 466502191.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133657 + ... + 135079.

It is an arithmetic number, because the mean of its divisors is an integer number (4709880).

Almost surely, 2^191205664 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 191205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226074240).

191205664 is an abundant number, since it is smaller than the sum of its proper divisors (260942816).

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

191205664 is a wasteful number, since it uses less digits than its factorization.

191205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 191205664 is about 13827.7136215645. The cubic root of 191205664 is about 576.1031515365.

The spelling of 191205664 in words is "one hundred ninety-one million, two hundred five thousand, six hundred sixty-four".