864648 has 32 divisors (see below), whose sum is σ = 2402400. Its totient is φ = 288144.

The previous prime is 864641. The next prime is 864673. The reversal of 864648 is 846468.

864648 is a `hidden beast` number, since 8 + 6 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864648.

It is not an unprimeable number, because it can be changed into a prime (864641) by changing a digit.

864648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

2⁸⁶⁴⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

864648 is an abundant number, since it is smaller than the sum of its proper divisors (1537752).

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

864648 is a wasteful number, since it uses less digits than its factorization.

864648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4008 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 864648 is about 929.8645062588. The cubic root of 864648 is about 95.2678681836.

The spelling of 864648 in words is "eight hundred sixty-four thousand, six hundred forty-eight".