186861312 has 216 divisors, whose sum is σ = 601696368. Its totient is φ = 55296000.

The previous prime is 186861293. The next prime is 186861317. The reversal of 186861312 is 213168681.

It is a super-3 number, since 3×186861312³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) 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 (36).

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 (186861317) 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, 1850062 + ... + 1850162.

Almost surely, 2^186861312 is an apocalyptic number.

186861312 is a gapful number since it is divisible by the number (12) 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 186861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300848184).

186861312 is an abundant number, since it is smaller than the sum of its proper divisors (414835056).

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

186861312 is a wasteful number, since it uses less digits than its factorization.

186861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 186861312 is about 13669.7224551196. The cubic root of 186861312 is about 571.7065017513.

The spelling of 186861312 in words is "one hundred eighty-six million, eight hundred sixty-one thousand, three hundred twelve".