187947648 has 256 divisors, whose sum is σ = 672710400. Its totient is φ = 50429952.

The previous prime is 187947647. The next prime is 187947659. The reversal of 187947648 is 846749781.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2709504) is a multiple of the sum of its prime factors (504).

It is a junction number, because it is equal to n+sod(n) for n = 187947594 and 187947603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187947647) 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 31 ways as a sum of consecutive naturals, for example, 411036 + ... + 411492.

It is an arithmetic number, because the mean of its divisors is an integer number (2627775).

Almost surely, 2^187947648 is an apocalyptic number.

187947648 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 187947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336355200).

187947648 is an abundant number, since it is smaller than the sum of its proper divisors (484762752).

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

187947648 is a wasteful number, since it uses less digits than its factorization.

187947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 187947648 is about 13709.3999868703. The cubic root of 187947648 is about 572.8122517484.

The spelling of 187947648 in words is "one hundred eighty-seven million, nine hundred forty-seven thousand, six hundred forty-eight".