191987712 has 256 divisors, whose sum is σ = 671078400. Its totient is φ = 53084160.

The previous prime is 191987699. The next prime is 191987717. The reversal of 191987712 is 217789191.

It is a happy number.

191987712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191987717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193137 + ... + 6193167.

It is an arithmetic number, because the mean of its divisors is an integer number (2621400).

Almost surely, 2^191987712 is an apocalyptic number.

191987712 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 191987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335539200).

191987712 is an abundant number, since it is smaller than the sum of its proper divisors (479090688).

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

191987712 is an frugal number, since it uses more digits than its factorization.

191987712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 43 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The square root of 191987712 is about 13855.9630484496. The cubic root of 191987712 is about 576.8875206641.

The spelling of 191987712 in words is "one hundred ninety-one million, nine hundred eighty-seven thousand, seven hundred twelve".