19064 has 8 divisors (see below), whose sum is σ = 35760. Its totient is φ = 9528.

The previous prime is 19051. The next prime is 19069. The reversal of 19064 is 46091.

19064 = T₆₅ + T₆₆ + ... + T₇₂.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19069) by changing a digit.

19064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1184 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (4470).

2¹⁹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

19064 is a deficient number, since it is larger than the sum of its proper divisors (16696).

19064 is a wasteful number, since it uses less digits than its factorization.

19064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 19064 is about 138.0724447527. The cubic root of 19064 is about 26.7139439106.

Subtracting from 19064 its sum of digits (20), we obtain a square (19044 = 138²).

The spelling of 19064 in words is "nineteen thousand, sixty-four".