187338816 has 168 divisors, whose sum is σ = 621304320. Its totient is φ = 52862976.

The previous prime is 187338761. The next prime is 187338817. The reversal of 187338816 is 618833781.

It is a tau number, because it is divible by the number of its divisors (168).

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 (187338817) 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, 390865 + ... + 391343.

It is an arithmetic number, because the mean of its divisors is an integer number (3698240).

Almost surely, 2^187338816 is an apocalyptic number.

187338816 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 187338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310652160).

187338816 is an abundant number, since it is smaller than the sum of its proper divisors (433965504).

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

187338816 is a wasteful number, since it uses less digits than its factorization.

187338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 187338816 is about 13687.1770646836. The cubic root of 187338816 is about 572.1930657061.

The spelling of 187338816 in words is "one hundred eighty-seven million, three hundred thirty-eight thousand, eight hundred sixteen".