186768648 has 96 divisors (see below), whose sum is σ = 575864640. Its totient is φ = 54130560.

The previous prime is 186768643. The next prime is 186768649. The reversal of 186768648 is 846867681.

It is a junction number, because it is equal to n+sod(n) for n = 186768594 and 186768603.

It is not an unprimeable number, because it can be changed into a prime (186768643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13090 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (5998590).

Almost surely, 2^186768648 is an apocalyptic number.

186768648 is a gapful number since it is divisible by the number (18) 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 186768648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287932320).

186768648 is an abundant number, since it is smaller than the sum of its proper divisors (389095992).

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

186768648 is a wasteful number, since it uses less digits than its factorization.

186768648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10292 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 186768648 is about 13666.3326463247. The cubic root of 186768648 is about 571.6119835761.

The spelling of 186768648 in words is "one hundred eighty-six million, seven hundred sixty-eight thousand, six hundred forty-eight".