191313864 has 96 divisors (see below), whose sum is σ = 595969920. Its totient is φ = 54309888.

The previous prime is 191313853. The next prime is 191313883. The reversal of 191313864 is 468313191.

It is a super-2 number, since 2×191313864² = 73201989117220992, which contains 22 as substring.

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

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, 83032 + ... + 85304.

It is an arithmetic number, because the mean of its divisors is an integer number (6208020).

Almost surely, 2^191313864 is an apocalyptic number.

191313864 is a gapful number since it is divisible by the number (14) 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 191313864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297984960).

191313864 is an abundant number, since it is smaller than the sum of its proper divisors (404656056).

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

191313864 is a wasteful number, since it uses less digits than its factorization.

191313864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2452 counting only the distinct ones).

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

The square root of 191313864 is about 13831.6255010031. The cubic root of 191313864 is about 576.2118000033.

The spelling of 191313864 in words is "one hundred ninety-one million, three hundred thirteen thousand, eight hundred sixty-four".