19208000 has 140 divisors (see below), whose sum is σ = 55493412. Its totient is φ = 6585600.

The previous prime is 19207987. The next prime is 19208023. The reversal of 19208000 is 80291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 18593344 = 784^2 + 4312^2 .

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2743997 + ... + 2744003.

Almost surely, 2^19208000 is an apocalyptic number.

19208000 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 19208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746706).

19208000 is an abundant number, since it is smaller than the sum of its proper divisors (36285412).

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

19208000 is an frugal number, since it uses more digits than its factorization.

19208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 19208000 is about 4382.6932358996. The cubic root of 19208000 is about 267.8103655881.

Multiplying 19208000 by its sum of digits (20), we get a 4-th power (384160000 = 140⁴).

19208000 divided by its sum of digits (20) gives a square (960400 = 980²).

Adding to 19208000 its reverse (80291), we get a palindrome (19288291).

The spelling of 19208000 in words is "nineteen million, two hundred eight thousand".