19860768 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 6531840.

The previous prime is 19860761. The next prime is 19860773. The reversal of 19860768 is 86706891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19860761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109638 + ... + 109818.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^19860768 is an apocalyptic number.

19860768 is a gapful number since it is divisible by the number (18) 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 19860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

19860768 is an abundant number, since it is smaller than the sum of its proper divisors (38845152).

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

19860768 is a wasteful number, since it uses less digits than its factorization.

19860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 19860768 is about 4456.5421573233. The cubic root of 19860768 is about 270.8104046441.

The spelling of 19860768 in words is "nineteen million, eight hundred sixty thousand, seven hundred sixty-eight".