4768192 has 56 divisors (see below), whose sum is σ = 11137392. Its totient is φ = 1996800.

The previous prime is 4768171. The next prime is 4768193. The reversal of 4768192 is 2918674.

4768192 = 364² + 365² + ... + 396².

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8892 + ... + 9412.

It is an arithmetic number, because the mean of its divisors is an integer number (198882).

Almost surely, 2^4768192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568696).

4768192 is an abundant number, since it is smaller than the sum of its proper divisors (6369200).

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

4768192 is a wasteful number, since it uses less digits than its factorization.

4768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 4768192 is about 2183.6190143887. The cubic root of 4768192 is about 168.3130971546.

It can be divided in two parts, 476 and 8192, that added together give a palindrome (8668).

The spelling of 4768192 in words is "four million, seven hundred sixty-eight thousand, one hundred ninety-two".