18916000 has 48 divisors (see below), whose sum is σ = 46486440. Its totient is φ = 7564800.

The previous prime is 18915989. The next prime is 18916031. The reversal of 18916000 is 61981.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 17740944 = 1084^2 + 4212^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1636 + ... + 6364.

Almost surely, 2^18916000 is an apocalyptic number.

18916000 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 18916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243220).

18916000 is an abundant number, since it is smaller than the sum of its proper divisors (27570440).

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

18916000 is an equidigital number, since it uses as much as digits as its factorization.

18916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 18916000 is about 4349.2528093915. The cubic root of 18916000 is about 266.4463457981.

Adding to 18916000 its reverse (61981), we get a palindrome (18977981).

The spelling of 18916000 in words is "eighteen million, nine hundred sixteen thousand".