180182016 has 352 divisors, whose sum is σ = 655040000. Its totient is φ = 48771072.

The previous prime is 180181999. The next prime is 180182021. The reversal of 180182016 is 610281081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9483255 + ... + 9483273.

Almost surely, 2^180182016 is an apocalyptic number.

180182016 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 180182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327520000).

180182016 is an abundant number, since it is smaller than the sum of its proper divisors (474857984).

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

180182016 is an equidigital number, since it uses as much as digits as its factorization.

180182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 180182016 is about 13423.1894868545. The cubic root of 180182016 is about 564.8118683422.

The spelling of 180182016 in words is "one hundred eighty million, one hundred eighty-two thousand, sixteen".