8193768 has 64 divisors (see below), whose sum is σ = 22921920. Its totient is φ = 2419200.

The previous prime is 8193751. The next prime is 8193781. The reversal of 8193768 is 8673918.

8193768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 10446 + ... + 11202.

It is an arithmetic number, because the mean of its divisors is an integer number (358155).

Almost surely, 2^8193768 is an apocalyptic number.

8193768 is a gapful number since it is divisible by the number (88) 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 8193768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460960).

8193768 is an abundant number, since it is smaller than the sum of its proper divisors (14728152).

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

8193768 is a wasteful number, since it uses less digits than its factorization.

8193768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

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

The square root of 8193768 is about 2862.4758514265. The cubic root of 8193768 is about 201.6018691563.

The spelling of 8193768 in words is "eight million, one hundred ninety-three thousand, seven hundred sixty-eight".