19139264 has 28 divisors (see below), whose sum is σ = 38383464. Its totient is φ = 9467904.

The previous prime is 19139221. The next prime is 19139269. The reversal of 19139264 is 46293191.

It is a super-2 number, since 2×19139264² = 732622852923392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19139269) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 4667 + ... + 7749.

It is an arithmetic number, because the mean of its divisors is an integer number (1370838).

Almost surely, 2^19139264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191732).

19139264 is an abundant number, since it is smaller than the sum of its proper divisors (19244200).

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

19139264 is an equidigital number, since it uses as much as digits as its factorization.

19139264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3182 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 19139264 is about 4374.8444543778. The cubic root of 19139264 is about 267.4905298420.

The spelling of 19139264 in words is "nineteen million, one hundred thirty-nine thousand, two hundred sixty-four".