19768000 has 112 divisors (see below), whose sum is σ = 56107584. Its totient is φ = 6758400.

The previous prime is 19767983. The next prime is 19768013. The reversal of 19768000 is 86791.

It is a tau number, because it is divible by the number of its divisors (112).

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, 55824 + ... + 56176.

Almost surely, 2^19768000 is an apocalyptic number.

19768000 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 19768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053792).

19768000 is an abundant number, since it is smaller than the sum of its proper divisors (36339584).

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

19768000 is an equidigital number, since it uses as much as digits as its factorization.

19768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 19768000 is about 4446.1219056612. The cubic root of 19768000 is about 270.3881021340.

The spelling of 19768000 in words is "nineteen million, seven hundred sixty-eight thousand".