19056 has 20 divisors (see below), whose sum is σ = 49352. Its totient is φ = 6336.

The previous prime is 19051. The next prime is 19069. The reversal of 19056 is 65091.

It is a super-2 number, since 2×19056² = 726262272, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151 + ... + 246.

2¹⁹⁰⁵⁶ is an apocalyptic number.

19056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19056 is an abundant number, since it is smaller than the sum of its proper divisors (30296).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676).

19056 is a wasteful number, since it uses less digits than its factorization.

19056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 19056 is about 138.0434714139. The cubic root of 19056 is about 26.7102066492.

The spelling of 19056 in words is "nineteen thousand, fifty-six".