19380640 has 48 divisors (see below), whose sum is σ = 46335240. Its totient is φ = 7659520.

The previous prime is 19380623. The next prime is 19380653. The reversal of 19380640 is 4608391.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 10163344 = 3036^2 + 3188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13560 + ... + 14920.

Almost surely, 2^19380640 is an apocalyptic number.

19380640 is a gapful number since it is divisible by the number (10) 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 19380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23167620).

19380640 is an abundant number, since it is smaller than the sum of its proper divisors (26954600).

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

19380640 is a wasteful number, since it uses less digits than its factorization.

19380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 19380640 is about 4402.3448297470. The cubic root of 19380640 is about 268.6103265568.

The spelling of 19380640 in words is "nineteen million, three hundred eighty thousand, six hundred forty".