4863768 has 128 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1198080.

The previous prime is 4863767. The next prime is 4863769. The reversal of 4863768 is 8673684.

It is an interprime number because it is at equal distance from previous prime (4863767) and next prime (4863769).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a d-powerful number, because it can be written as 4³ + 8 + 6⁴ + 3¹⁴ + 7 + 6⁶ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37063 + ... + 37193.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^4863768 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 4863768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

4863768 is an abundant number, since it is smaller than the sum of its proper divisors (11102952).

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

4863768 is a wasteful number, since it uses less digits than its factorization.

4863768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4863768 is about 2205.3952026791. The cubic root of 4863768 is about 169.4302494922.

The spelling of 4863768 in words is "four million, eight hundred sixty-three thousand, seven hundred sixty-eight".