19008000 has 320 divisors, whose sum is σ = 76602240. Its totient is φ = 4608000.

The previous prime is 19007983. The next prime is 19008007. The reversal of 19008000 is 80091.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×19008000² = 722608128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19008007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727995 + ... + 1728005.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^19008000 is an apocalyptic number.

19008000 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 19008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

19008000 is an abundant number, since it is smaller than the sum of its proper divisors (57594240).

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

19008000 is an equidigital number, since it uses as much as digits as its factorization.

19008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19008000 is about 4359.8165099004. The cubic root of 19008000 is about 266.8776108683.

Adding to 19008000 its reverse (80091), we get a palindrome (19088091).

The spelling of 19008000 in words is "nineteen million, eight thousand".