16180400 has 60 divisors (see below), whose sum is σ = 40938600. Its totient is φ = 6128640.

The previous prime is 16180391. The next prime is 16180421. The reversal of 16180400 is 408161.

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 11 ways as a sum of consecutive naturals, for example, 6536 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (682310).

Almost surely, 2^16180400 is an apocalyptic number.

16180400 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 16180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469300).

16180400 is an abundant number, since it is smaller than the sum of its proper divisors (24758200).

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

16180400 is a wasteful number, since it uses less digits than its factorization.

16180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2155 counting only the distinct ones).

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

The square root of 16180400 is about 4022.4867930175. The cubic root of 16180400 is about 252.9277134692.

Adding to 16180400 its reverse (408161), we get a palindrome (16588561).

The spelling of 16180400 in words is "sixteen million, one hundred eighty thousand, four hundred".