187743648 has 144 divisors (see below), whose sum is σ = 536596704. Its totient is φ = 57446400.

The previous prime is 187743643. The next prime is 187743659. The reversal of 187743648 is 846347781.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 187743597 and 187743606.

It is not an unprimeable number, because it can be changed into a prime (187743643) 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, 1858798 + ... + 1858898.

It is an arithmetic number, because the mean of its divisors is an integer number (3726366).

Almost surely, 2^187743648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268298352).

187743648 is an abundant number, since it is smaller than the sum of its proper divisors (348853056).

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

187743648 is a wasteful number, since it uses less digits than its factorization.

187743648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 187743648 is about 13701.9578163122. The cubic root of 187743648 is about 572.6049315999.

It can be divided in two parts, 18774 and 3648, that added together give a palindrome (22422).

The spelling of 187743648 in words is "one hundred eighty-seven million, seven hundred forty-three thousand, six hundred forty-eight".