187164216 has 64 divisors (see below), whose sum is σ = 525319200. Its totient is φ = 61737984.

The previous prime is 187164209. The next prime is 187164217. The reversal of 187164216 is 612461781.

It is a happy number.

187164216 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 642 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187164217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16486 + ... + 25418.

Almost surely, 2^187164216 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 187164216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262659600).

187164216 is an abundant number, since it is smaller than the sum of its proper divisors (338154984).

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

187164216 is a wasteful number, since it uses less digits than its factorization.

187164216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9045 (or 9035 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 187164216 is about 13680.7973451842. The cubic root of 187164216 is about 572.0152489129.

The spelling of 187164216 in words is "one hundred eighty-seven million, one hundred sixty-four thousand, two hundred sixteen".