19085120 has 112 divisors (see below), whose sum is σ = 49621440. Its totient is φ = 6967296.

The previous prime is 19085113. The next prime is 19085123. The reversal of 19085120 is 2158091.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19085120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19085123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261404 + ... + 261476.

Almost surely, 2^19085120 is an apocalyptic number.

19085120 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 19085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24810720).

19085120 is an abundant number, since it is smaller than the sum of its proper divisors (30536320).

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

19085120 is a wasteful number, since it uses less digits than its factorization.

19085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 19085120 is about 4368.6519659959. The cubic root of 19085120 is about 267.2380525963.

The spelling of 19085120 in words is "nineteen million, eighty-five thousand, one hundred twenty".