4092768 has 60 divisors (see below), whose sum is σ = 12044340. Its totient is φ = 1363392.

The previous prime is 4092763. The next prime is 4092769. The reversal of 4092768 is 8672904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092761) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1803 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (200739).

Almost surely, 2^4092768 is an apocalyptic number.

4092768 is a gapful number since it is divisible by the number (48) 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 4092768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022170).

4092768 is an abundant number, since it is smaller than the sum of its proper divisors (7951572).

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

4092768 is a wasteful number, since it uses less digits than its factorization.

4092768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4092768 is about 2023.0590698247. The cubic root of 4092768 is about 159.9579055930.

The spelling of 4092768 in words is "four million, ninety-two thousand, seven hundred sixty-eight".