864006 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 224640.

The previous prime is 863983. The next prime is 864007. The reversal of 864006 is 600468.

864006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16276 + ... + 16328.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁸⁶⁴⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

864006 is an abundant number, since it is smaller than the sum of its proper divisors (1313274).

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

864006 is a wasteful number, since it uses less digits than its factorization.

864006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

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

The square root of 864006 is about 929.5192305703. The cubic root of 864006 is about 95.2442835899.

It can be divided in two parts, 86400 and 6, that multiplied together give a square (518400 = 720²).

The spelling of 864006 in words is "eight hundred sixty-four thousand, six".