191460672 has 168 divisors, whose sum is σ = 613538016. Its totient is φ = 58848768.

The previous prime is 191460667. The next prime is 191460673. The reversal of 191460672 is 276064191.

191460672 is a `hidden beast` number, since 191 + 460 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191460673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201703 + ... + 202649.

It is an arithmetic number, because the mean of its divisors is an integer number (3652012).

Almost surely, 2^191460672 is an apocalyptic number.

191460672 is a gapful number since it is divisible by the number (12) 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 191460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306769008).

191460672 is an abundant number, since it is smaller than the sum of its proper divisors (422077344).

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

191460672 is an equidigital number, since it uses as much as digits as its factorization.

191460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 191460672 is about 13836.9314517345. The cubic root of 191460672 is about 576.3591510134.

The spelling of 191460672 in words is "one hundred ninety-one million, four hundred sixty thousand, six hundred seventy-two".