19264 has 28 divisors (see below), whose sum is σ = 44704. Its totient is φ = 8064.

The previous prime is 19259. The next prime is 19267. The reversal of 19264 is 46291.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×19264² = 742203392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 427 + ... + 469.

2¹⁹²⁶⁴ is an apocalyptic number.

19264 is a gapful number since it is divisible by the number (14) 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 19264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352).

19264 is an abundant number, since it is smaller than the sum of its proper divisors (25440).

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

19264 is an equidigital number, since it uses as much as digits as its factorization.

19264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 19264 is about 138.7948125832. The cubic root of 19264 is about 26.8070375815.

It can be divided in two parts, 192 and 64, that added together give a 8-th power (256 = 2⁸).

The spelling of 19264 in words is "nineteen thousand, two hundred sixty-four".