19201000 has 128 divisors (see below), whose sum is σ = 55560960. Its totient is φ = 6048000.

The previous prime is 19200989. The next prime is 19201033. The reversal of 19201000 is 10291.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90895 + ... + 91105.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^19201000 is an apocalyptic number.

19201000 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 19201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780480).

19201000 is an abundant number, since it is smaller than the sum of its proper divisors (36359960).

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

19201000 is a wasteful number, since it uses less digits than its factorization.

19201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 19201000 is about 4381.8945674217. The cubic root of 19201000 is about 267.7778287921. Note that the first 3 decimals are identical.

Adding to 19201000 its reverse (10291), we get a palindrome (19211291).

The spelling of 19201000 in words is "nineteen million, two hundred one thousand".