16181000 has 64 divisors (see below), whose sum is σ = 41333760. Its totient is φ = 5880000.

The previous prime is 16180979. The next prime is 16181023. The reversal of 16181000 is 18161.

It is a happy number.

It is a super-2 number, since 2×16181000² = 523649522000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16181000.

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 15 ways as a sum of consecutive naturals, for example, 10265 + ... + 11735.

It is an arithmetic number, because the mean of its divisors is an integer number (645840).

Almost surely, 2^16181000 is an apocalyptic number.

16181000 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 16181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20666880).

16181000 is an abundant number, since it is smaller than the sum of its proper divisors (25152760).

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

16181000 is a wasteful number, since it uses less digits than its factorization.

16181000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 16181000 is about 4022.5613730557. The cubic root of 16181000 is about 252.9308397774.

Adding to 16181000 its reverse (18161), we get a palindrome (16199161).

The spelling of 16181000 in words is "sixteen million, one hundred eighty-one thousand".