4020864 has 64 divisors (see below), whose sum is σ = 11007840. Its totient is φ = 1299456.

The previous prime is 4020847. The next prime is 4020869. The reversal of 4020864 is 4680204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4020869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14067 + ... + 14349.

Almost surely, 2^4020864 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 4020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503920).

4020864 is an abundant number, since it is smaller than the sum of its proper divisors (6986976).

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

4020864 is a wasteful number, since it uses less digits than its factorization.

4020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4020864 is about 2005.2092160171. The cubic root of 4020864 is about 159.0156228468.

It can be divided in two parts, 4020 and 864, that added together give a palindrome (4884).

The spelling of 4020864 in words is "four million, twenty thousand, eight hundred sixty-four".