19098000 has 120 divisors (see below), whose sum is σ = 66765816. Its totient is φ = 5088000.

The previous prime is 19097971. The next prime is 19098011. The reversal of 19098000 is 89091.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 18766224 = 576^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17470 + ... + 18530.

Almost surely, 2^19098000 is an apocalyptic number.

19098000 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 19098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33382908).

19098000 is an abundant number, since it is smaller than the sum of its proper divisors (47667816).

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

19098000 is a wasteful number, since it uses less digits than its factorization.

19098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19098000 is about 4370.1258563112. The cubic root of 19098000 is about 267.2981561761.

The spelling of 19098000 in words is "nineteen million, ninety-eight thousand".