19053216 has 144 divisors (see below), whose sum is σ = 66777984. Its totient is φ = 5018112.

The previous prime is 19053179. The next prime is 19053227. The reversal of 19053216 is 61235091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 19053216.

It is a congruent number.

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, 25845 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 2^19053216 is an apocalyptic number.

19053216 is a gapful number since it is divisible by the number (16) 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 19053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33388992).

19053216 is an abundant number, since it is smaller than the sum of its proper divisors (47724768).

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

19053216 is a wasteful number, since it uses less digits than its factorization.

19053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 19053216 is about 4364.9989690720. The cubic root of 19053216 is about 267.0890583692.

The spelling of 19053216 in words is "nineteen million, fifty-three thousand, two hundred sixteen".