19768905 has 48 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 9512064.

The previous prime is 19768871. The next prime is 19768907. The reversal of 19768905 is 50986791.

It is not a de Polignac number, because 19768905 - 2⁸ = 19768649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19768907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27136 + ... + 27854.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^19768905 is an apocalyptic number.

19768905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19768905 is a deficient number, since it is larger than the sum of its proper divisors (17970615).

19768905 is a wasteful number, since it uses less digits than its factorization.

19768905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19768905 is about 4446.2236785839. The cubic root of 19768905 is about 270.3922282890.

The spelling of 19768905 in words is "nineteen million, seven hundred sixty-eight thousand, nine hundred five".