19140000 has 240 divisors, whose sum is σ = 70852320. Its totient is φ = 4480000.

The previous prime is 19139999. The next prime is 19140059. The reversal of 19140000 is 4191.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659986 + ... + 660014.

It is an arithmetic number, because the mean of its divisors is an integer number (295218).

Almost surely, 2^19140000 is an apocalyptic number.

19140000 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 19140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35426160).

19140000 is an abundant number, since it is smaller than the sum of its proper divisors (51712320).

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

19140000 is a wasteful number, since it uses less digits than its factorization.

19140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 19140000 is about 4374.9285708455. The cubic root of 19140000 is about 267.4939585790.

Adding to 19140000 its reverse (4191), we get a palindrome (19144191).

The spelling of 19140000 in words is "nineteen million, one hundred forty thousand".