866448 has 60 divisors (see below), whose sum is σ = 2650128. Its totient is φ = 262080.

The previous prime is 866443. The next prime is 866461. The reversal of 866448 is 844668.

866448 is a `hidden beast` number, since 8 + 6 + 644 + 8 = 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 a plaindrome in base 13.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 866448.

It is not an unprimeable number, because it can be changed into a prime (866443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1311 + ... + 1857.

2⁸⁶⁶⁴⁴⁸ is an apocalyptic number.

866448 is a gapful number since it is divisible by the number (88) 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 866448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325064).

866448 is an abundant number, since it is smaller than the sum of its proper divisors (1783680).

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

866448 is a wasteful number, since it uses less digits than its factorization.

866448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

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

The square root of 866448 is about 930.8318860031. The cubic root of 866448 is about 95.3339310225. Note that the first 3 decimals are identical.

The spelling of 866448 in words is "eight hundred sixty-six thousand, four hundred forty-eight".