864864 has 192 divisors, whose sum is σ = 3386880. Its totient is φ = 207360.
The previous prime is 864817. The next prime is 864883. The reversal of 864864 is 468468.
864864 is a `hidden beast` number, since 8 + 648 + 6 + 4 = 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.
Its product of digits (36864) is a multiple of the sum of its prime divisors (36).
It is a congruent number.
It is an unprimeable number.
864864 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 31 ways as a sum of consecutive naturals, for example, 66522 + ... + 66534.
It is an arithmetic number, because the mean of its divisors is an integer number (17640).
2864864 is an apocalyptic number.
864864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).
864864 is an abundant number, since it is smaller than the sum of its proper divisors (2522016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
864864 is a wasteful number, since it uses less digits than its factorization.
864864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50 (or 36 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 864864 is about 929.9806449599. The cubic root of 864864 is about 95.2758005623.
Adding to 864864 its sum of digits (36), we get a square (864900 = 9302).
It can be divided in two parts, 864 and 864, that added together give a cube (1728 = 123).
The spelling of 864864 in words is "eight hundred sixty-four thousand, eight hundred sixty-four".
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