6000864 has 48 divisors (see below), whose sum is σ = 16683408. Its totient is φ = 1882112.

The previous prime is 6000859. The next prime is 6000889. The reversal of 6000864 is 4680006.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 3470.

It is an arithmetic number, because the mean of its divisors is an integer number (347571).

Almost surely, 2^6000864 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 6000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341704).

6000864 is an abundant number, since it is smaller than the sum of its proper divisors (10682544).

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

6000864 is a wasteful number, since it uses less digits than its factorization.

6000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6000864 is about 2449.6660996960. Note that the first 3 decimals coincide. The cubic root of 6000864 is about 181.7207810434.

The spelling of 6000864 in words is "six million, eight hundred sixty-four", and thus it is an aban number.