19268256 has 96 divisors (see below), whose sum is σ = 59004288. Its totient is φ = 5391360.

The previous prime is 19268251. The next prime is 19268281. The reversal of 19268256 is 65286291.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19268251) 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 15 ways as a sum of consecutive naturals, for example, 35346 + ... + 35886.

It is an arithmetic number, because the mean of its divisors is an integer number (614628).

Almost surely, 2^19268256 is an apocalyptic number.

19268256 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 19268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502144).

19268256 is an abundant number, since it is smaller than the sum of its proper divisors (39736032).

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

19268256 is a wasteful number, since it uses less digits than its factorization.

19268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 19268256 is about 4389.5621649545. The cubic root of 19268256 is about 268.0901159783.

The spelling of 19268256 in words is "nineteen million, two hundred sixty-eight thousand, two hundred fifty-six".