4146768 has 80 divisors (see below), whose sum is σ = 12350400. Its totient is φ = 1330560.

The previous prime is 4146767. The next prime is 4146803. The reversal of 4146768 is 8676414.

4146768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (4146767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12363 + ... + 12693.

It is an arithmetic number, because the mean of its divisors is an integer number (154380).

Almost surely, 2^4146768 is an apocalyptic number.

4146768 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 4146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175200).

4146768 is an abundant number, since it is smaller than the sum of its proper divisors (8203632).

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

4146768 is a wasteful number, since it uses less digits than its factorization.

4146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4146768 is about 2036.3614610378. The cubic root of 4146768 is about 160.6583292181.

The spelling of 4146768 in words is "four million, one hundred forty-six thousand, seven hundred sixty-eight".