180016400 has 120 divisors (see below), whose sum is σ = 478255104. Its totient is φ = 64768000.

The previous prime is 180016387. The next prime is 180016489. The reversal of 180016400 is 4610081.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155825 + ... + 156975.

Almost surely, 2^180016400 is an apocalyptic number.

180016400 is a gapful number since it is divisible by the number (10) 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 180016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239127552).

180016400 is an abundant number, since it is smaller than the sum of its proper divisors (298238704).

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

180016400 is a wasteful number, since it uses less digits than its factorization.

180016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 180016400 is about 13417.0190429916. The cubic root of 180016400 is about 564.6387645755.

Adding to 180016400 its reverse (4610081), we get a palindrome (184626481).

The spelling of 180016400 in words is "one hundred eighty million, sixteen thousand, four hundred".