192768768 has 108 divisors (see below), whose sum is σ = 573485080. Its totient is φ = 63871488.

The previous prime is 192768767. The next prime is 192768781. The reversal of 192768768 is 867867291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

192768768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (192768767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154221 + ... + 1154387.

Almost surely, 2^192768768 is an apocalyptic number.

192768768 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 192768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286742540).

192768768 is an abundant number, since it is smaller than the sum of its proper divisors (380716312).

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

192768768 is an frugal number, since it uses more digits than its factorization.

192768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 172 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 192768768 is about 13884.1192734721. The cubic root of 192768768 is about 577.6687717215.

The spelling of 192768768 in words is "one hundred ninety-two million, seven hundred sixty-eight thousand, seven hundred sixty-eight".