19768320 has 352 divisors, whose sum is σ = 82535040. Its totient is φ = 4423680.

The previous prime is 19768289. The next prime is 19768321. The reversal of 19768320 is 2386791.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19768321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520634 + ... + 1520646.

Almost surely, 2^19768320 is an apocalyptic number.

19768320 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 19768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41267520).

19768320 is an abundant number, since it is smaller than the sum of its proper divisors (62766720).

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

19768320 is a wasteful number, since it uses less digits than its factorization.

19768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19768320 is about 4446.1578919332. The cubic root of 19768320 is about 270.3895611203.

It can be divided in two parts, 1976 and 8320, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 19768320 in words is "nineteen million, seven hundred sixty-eight thousand, three hundred twenty".