187064416 has 144 divisors (see below), whose sum is σ = 480453120. Its totient is φ = 69638400.

The previous prime is 187064357. The next prime is 187064417. The reversal of 187064416 is 614460781.

It is a happy number.

187064416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187064417) 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, 2367865 + ... + 2367943.

It is an arithmetic number, because the mean of its divisors is an integer number (3336480).

Almost surely, 2^187064416 is an apocalyptic number.

187064416 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 187064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240226560).

187064416 is an abundant number, since it is smaller than the sum of its proper divisors (293388704).

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

187064416 is a wasteful number, since it uses less digits than its factorization.

187064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 187064416 is about 13677.1494106045. The cubic root of 187064416 is about 571.9135605440.

The spelling of 187064416 in words is "one hundred eighty-seven million, sixty-four thousand, four hundred sixteen".