19380768 has 48 divisors (see below), whose sum is σ = 55502496. Its totient is φ = 5872640.

The previous prime is 19380763. The next prime is 19380769. The reversal of 19380768 is 86708391.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×19380768² = 751228336539648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19380763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8121 + ... + 10232.

It is an arithmetic number, because the mean of its divisors is an integer number (1156302).

Almost surely, 2^19380768 is an apocalyptic number.

It is an amenable number.

19380768 is an abundant number, since it is smaller than the sum of its proper divisors (36121728).

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

19380768 is a wasteful number, since it uses less digits than its factorization.

19380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18377 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 19380768 is about 4402.3593674302. The cubic root of 19380768 is about 268.6109179038.

The spelling of 19380768 in words is "nineteen million, three hundred eighty thousand, seven hundred sixty-eight".