180871416 has 192 divisors, whose sum is σ = 563397120. Its totient is φ = 51932160.

The previous prime is 180871363. The next prime is 180871417. The reversal of 180871416 is 614178081.

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 (180871417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600576 + ... + 1600688.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 2^180871416 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 180871416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281698560).

180871416 is an abundant number, since it is smaller than the sum of its proper divisors (382525704).

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

180871416 is a wasteful number, since it uses less digits than its factorization.

180871416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 180871416 is about 13448.8444113240. The cubic root of 180871416 is about 565.5312996440.

It can be divided in two parts, 18087 and 1416, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 180871416 in words is "one hundred eighty million, eight hundred seventy-one thousand, four hundred sixteen".