4182768 has 60 divisors (see below), whose sum is σ = 12096448. Its totient is φ = 1347840.

The previous prime is 4182751. The next prime is 4182769. The reversal of 4182768 is 8672814.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3996 + ... + 4932.

Almost surely, 2^4182768 is an apocalyptic number.

4182768 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 4182768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048224).

4182768 is an abundant number, since it is smaller than the sum of its proper divisors (7913680).

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

4182768 is a wasteful number, since it uses less digits than its factorization.

4182768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 973 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4182768 is about 2045.1816545236. The cubic root of 4182768 is about 161.1219065651.

It can be divided in two parts, 4182 and 768, that added together give a triangular number (4950 = T₉₉).

The spelling of 4182768 in words is "four million, one hundred eighty-two thousand, seven hundred sixty-eight".