18916400 has 90 divisors (see below), whose sum is σ = 48330612. Its totient is φ = 7113600.

The previous prime is 18916399. The next prime is 18916409. The reversal of 18916400 is 461981.

It is not an unprimeable number, because it can be changed into a prime (18916409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 144335 + ... + 144465.

Almost surely, 2^18916400 is an apocalyptic number.

18916400 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 18916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165306).

18916400 is an abundant number, since it is smaller than the sum of its proper divisors (29414212).

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

18916400 is a wasteful number, since it uses less digits than its factorization.

18916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 18916400 is about 4349.2987940586. The cubic root of 18916400 is about 266.4482238870.

The spelling of 18916400 in words is "eighteen million, nine hundred sixteen thousand, four hundred".