4067712 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1221120.

The previous prime is 4067699. The next prime is 4067717. The reversal of 4067712 is 2177604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37963 + ... + 38069.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^4067712 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 4067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

4067712 is an abundant number, since it is smaller than the sum of its proper divisors (9151488).

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

4067712 is a wasteful number, since it uses less digits than its factorization.

4067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4067712 is about 2016.8569607188. The cubic root of 4067712 is about 159.6308154642.

It can be divided in two parts, 406 and 7712, that added together give a palindrome (8118).

The spelling of 4067712 in words is "four million, sixty-seven thousand, seven hundred twelve".