19012864 has 72 divisors (see below), whose sum is σ = 42494760. Its totient is φ = 8429568.

The previous prime is 19012831. The next prime is 19012871. The reversal of 19012864 is 46821091.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 14137600 = 2208^2 + 3760^2 .

It is a super-2 number, since 2×19012864² = 722977994964992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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 in 7 ways as a sum of consecutive naturals, for example, 96414 + ... + 96610.

It is an arithmetic number, because the mean of its divisors is an integer number (590205).

Almost surely, 2^19012864 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 19012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21247380).

19012864 is an abundant number, since it is smaller than the sum of its proper divisors (23481896).

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

19012864 is a wasteful number, since it uses less digits than its factorization.

19012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 19012864 is about 4360.3742958604. The cubic root of 19012864 is about 266.9003728982.

The spelling of 19012864 in words is "nineteen million, twelve thousand, eight hundred sixty-four".