19648320 has 112 divisors (see below), whose sum is σ = 63325248. Its totient is φ = 5160960.

The previous prime is 19648309. The next prime is 19648339. The reversal of 19648320 is 2384691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93015 + ... + 93225.

It is an arithmetic number, because the mean of its divisors is an integer number (565404).

Almost surely, 2^19648320 is an apocalyptic number.

19648320 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 19648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31662624).

19648320 is an abundant number, since it is smaller than the sum of its proper divisors (43676928).

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

19648320 is a wasteful number, since it uses less digits than its factorization.

19648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 19648320 is about 4432.6425526992. The cubic root of 19648320 is about 269.8413333890.

It can be divided in two parts, 196 and 48320, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 19648320 in words is "nineteen million, six hundred forty-eight thousand, three hundred twenty".