4842768 has 120 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 1317120.

The previous prime is 4842767. The next prime is 4842781. The reversal of 4842768 is 8672484.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (86016) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4842767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68173 + ... + 68243.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^4842768 is an apocalyptic number.

4842768 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 4842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

4842768 is an abundant number, since it is smaller than the sum of its proper divisors (10424112).

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

4842768 is a wasteful number, since it uses less digits than its factorization.

4842768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 4842768 is about 2200.6290009904. The cubic root of 4842768 is about 169.1860514185.

The spelling of 4842768 in words is "four million, eight hundred forty-two thousand, seven hundred sixty-eight".