186672096 has 144 divisors (see below), whose sum is σ = 580363056. Its totient is φ = 56567808.

The previous prime is 186672091. The next prime is 186672097. The reversal of 186672096 is 690276681.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186672091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272971 + ... + 273653.

It is an arithmetic number, because the mean of its divisors is an integer number (4030299).

Almost surely, 2^186672096 is an apocalyptic number.

186672096 is a gapful number since it is divisible by the number (16) 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 186672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290181528).

186672096 is an abundant number, since it is smaller than the sum of its proper divisors (393690960).

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

186672096 is a wasteful number, since it uses less digits than its factorization.

186672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 186672096 is about 13662.7997130896. The cubic root of 186672096 is about 571.5134663393.

The spelling of 186672096 in words is "one hundred eighty-six million, six hundred seventy-two thousand, ninety-six".