4005864 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1224960.

The previous prime is 4005847. The next prime is 4005889. The reversal of 4005864 is 4685004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67867 + ... + 67925.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^4005864 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 4005864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4005864 is an abundant number, since it is smaller than the sum of its proper divisors (7787736).

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

4005864 is a wasteful number, since it uses less digits than its factorization.

4005864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4005864 is about 2001.4654631045. The cubic root of 4005864 is about 158.8176383194.

The spelling of 4005864 in words is "four million, five thousand, eight hundred sixty-four".