19680375 has 64 divisors (see below), whose sum is σ = 38578176. Its totient is φ = 8784000.

The previous prime is 19680359. The next prime is 19680377. The reversal of 19680375 is 57308691.

It is not a de Polignac number, because 19680375 - 2⁴ = 19680359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19680377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53442 + ... + 53808.

It is an arithmetic number, because the mean of its divisors is an integer number (602784).

Almost surely, 2^19680375 is an apocalyptic number.

19680375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19680375 is a deficient number, since it is larger than the sum of its proper divisors (18897801).

19680375 is a wasteful number, since it uses less digits than its factorization.

19680375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 19680375 is about 4436.2568681266. The cubic root of 19680375 is about 269.9879967229.

It can be divided in two parts, 196803 and 75, that added together give a triangular number (196878 = T₆₂₇).

The spelling of 19680375 in words is "nineteen million, six hundred eighty thousand, three hundred seventy-five".