191349864 has 96 divisors (see below), whose sum is σ = 540933120. Its totient is φ = 63369216.

The previous prime is 191349839. The next prime is 191349889. The reversal of 191349864 is 468943191.

191349864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (191349839) and next prime (191349889).

It is a super-2 number, since 2×191349864² = 73229540905636992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 499417 + ... + 499799.

It is an arithmetic number, because the mean of its divisors is an integer number (5634720).

Almost surely, 2^191349864 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 191349864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270466560).

191349864 is an abundant number, since it is smaller than the sum of its proper divisors (349583256).

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

191349864 is a wasteful number, since it uses less digits than its factorization.

191349864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 191349864 is about 13832.9268052715. The cubic root of 191349864 is about 576.2479401335.

The spelling of 191349864 in words is "one hundred ninety-one million, three hundred forty-nine thousand, eight hundred sixty-four".