19052864 has 56 divisors (see below), whose sum is σ = 39748968. Its totient is φ = 9052160.

The previous prime is 19052849. The next prime is 19052867. The reversal of 19052864 is 46825091.

It can be written as a sum of positive squares in 4 ways, for example, as 1345600 + 17707264 = 1160^2 + 4208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19052867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139004 + ... + 139140.

It is an arithmetic number, because the mean of its divisors is an integer number (709803).

Almost surely, 2^19052864 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 19052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19874484).

19052864 is an abundant number, since it is smaller than the sum of its proper divisors (20696104).

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

19052864 is a wasteful number, since it uses less digits than its factorization.

19052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 19052864 is about 4364.9586481432. The cubic root of 19052864 is about 267.0874135738.

The spelling of 19052864 in words is "nineteen million, fifty-two thousand, eight hundred sixty-four".