180916416 has 84 divisors (see below), whose sum is σ = 537816552. Its totient is φ = 60300288.

The previous prime is 180916391. The next prime is 180916427. The reversal of 180916416 is 614619081.

It is a happy number.

180916416 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 1 + 641 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9736 + ... + 21368.

It is an arithmetic number, because the mean of its divisors is an integer number (6402578).

Almost surely, 2^180916416 is an apocalyptic number.

180916416 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 180916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268908276).

180916416 is an abundant number, since it is smaller than the sum of its proper divisors (356900136).

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

180916416 is an equidigital number, since it uses as much as digits as its factorization.

180916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 180916416 is about 13450.5173134716. The cubic root of 180916416 is about 565.5781963084.

It can be divided in two parts, 1809 and 16416, that added together give a square (18225 = 135²).

The spelling of 180916416 in words is "one hundred eighty million, nine hundred sixteen thousand, four hundred sixteen".