4032864 has 144 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1140480.

The previous prime is 4032863. The next prime is 4032877. The reversal of 4032864 is 4682304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60159 + ... + 60225.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

Almost surely, 2^4032864 is an apocalyptic number.

4032864 is a gapful number since it is divisible by the number (44) 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 4032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

4032864 is an abundant number, since it is smaller than the sum of its proper divisors (9333216).

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

4032864 is a wasteful number, since it uses less digits than its factorization.

4032864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4032864 is about 2008.1991933073. The cubic root of 4032864 is about 159.1736562388.

The spelling of 4032864 in words is "four million, thirty-two thousand, eight hundred sixty-four".