19140264 has 144 divisors (see below), whose sum is σ = 61725300. Its totient is φ = 5353920.

The previous prime is 19140257. The next prime is 19140269. The reversal of 19140264 is 46204191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 13176900 = 2442^2 + 3630^2 .

It is not an unprimeable number, because it can be changed into a prime (19140269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1472322 + ... + 1472334.

Almost surely, 2^19140264 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 19140264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862650).

19140264 is an abundant number, since it is smaller than the sum of its proper divisors (42585036).

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

19140264 is a wasteful number, since it uses less digits than its factorization.

19140264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19140264 is about 4374.9587426626. The cubic root of 19140264 is about 267.4951884306.

The spelling of 19140264 in words is "nineteen million, one hundred forty thousand, two hundred sixty-four".